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231016431063132 = 22321113270716577387
BaseRepresentation
bin110100100001101110110100…
…010011111001000001011100
31010021221221210021200201210100
4310201232310103321001130
5220234433122323010012
62135155252221541100
766442246343342151
oct6441566423710134
91107857707621710
10231016431063132
1167677577827210
1221ab0647414790
139bb99a9b49310
14410937d718228
151ba9402d728dc
hexd21bb44f905c

231016431063132 has 144 divisors (see below), whose sum is σ = 686302271770752. Its totient is φ = 64596105383040.

The previous prime is 231016431063113. The next prime is 231016431063133. The reversal of 231016431063132 is 231360134610132.

231016431063132 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 1 + 6 + 4 + 3 + 10 + 631 + 3 + 2 = 666.

It is a super-2 number, since 2×2310164310631322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231016431063133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646943 + ... + 22224329.

It is an arithmetic number, because the mean of its divisors is an integer number (4765987998408).

Almost surely, 2231016431063132 is an apocalyptic number.

231016431063132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231016431063132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343151135885376).

231016431063132 is an abundant number, since it is smaller than the sum of its proper divisors (455285840707620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231016431063132 is a wasteful number, since it uses less digits than its factorization.

231016431063132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16580128 (or 16580123 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 231016431063132 its reverse (231360134610132), we get a palindrome (462376565673264).

The spelling of 231016431063132 in words is "two hundred thirty-one trillion, sixteen billion, four hundred thirty-one million, sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 2707 5148 5414 8121 10828 16242 24363 29777 32484 35191 48726 59554 70382 89331 97452 105573 119108 140764 178662 211146 267993 316719 357324 387101 422292 535986 633438 774202 1071972 1161303 1266876 1548404 2322606 3483909 4645212 6967818 13935636 16577387 33154774 49732161 66309548 99464322 149196483 182351257 198928644 215506031 298392966 364702514 431012062 547053771 596785932 646518093 729405028 862024124 1094107542 1293036186 1641161313 1939554279 2188215084 2370566341 2586072372 3282322626 3879108558 4741132682 6564645252 7111699023 7758217116 9482265364 14223398046 21335097069 28446796092 42670194138 44874986609 85340388276 89749973218 134624959827 179499946436 269249919654 403874879481 493624852699 538499839308 583374825917 807749758962 987249705398 1166749651834 1480874558097 1615499517924 1750124477751 1974499410796 2333499303668 2961749116194 3500248955502 4442623674291 5250373433253 5923498232388 6417123085087 7000497911004 8885247348582 10500746866506 12834246170174 17770494697164 19251369255261 21001493733012 25668492340348 38502738510522 57754107765783 77005477021044 115508215531566 231016431063132