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231330100232 = 2371129101128213
BaseRepresentation
bin1101011101110001011…
…0010011010000001000
3211010002210101200101002
43113130112103100020
512242231001201412
6254134354514132
722466401260050
oct3273426232010
9733083350332
10231330100232
118a1198a1220
12389bbb95948
1318a7812aa1a
14b2a7044560
15603dc36dc2
hex35dc593408

231330100232 has 128 divisors (see below), whose sum is σ = 564962169600. Its totient is φ = 86158464000.

The previous prime is 231330100231. The next prime is 231330100237. The reversal of 231330100232 is 232001033132.

It is not an unprimeable number, because it can be changed into a prime (231330100231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740158 + ... + 1868370.

It is an arithmetic number, because the mean of its divisors is an integer number (4413766950).

Almost surely, 2231330100232 is an apocalyptic number.

231330100232 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 231330100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282481084800).

231330100232 is an abundant number, since it is smaller than the sum of its proper divisors (333632069368).

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

231330100232 is a wasteful number, since it uses less digits than its factorization.

231330100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128367 (or 128363 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 231330100232 its reverse (232001033132), we get a palindrome (463331133364).

The spelling of 231330100232 in words is "two hundred thirty-one billion, three hundred thirty million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 101 116 154 202 203 232 308 319 404 406 616 638 707 808 812 1111 1276 1414 1624 2222 2233 2552 2828 2929 4444 4466 5656 5858 7777 8888 8932 11716 15554 17864 20503 23432 31108 32219 41006 62216 64438 82012 128213 128876 164024 225533 256426 257752 451066 512852 897491 902132 1025704 1410343 1794982 1804264 2820686 3589964 3718177 5641372 7179928 7436354 9872401 11282744 12949513 14872708 19744802 25899026 26027239 29745416 39489604 40899947 51798052 52054478 78979208 81799894 90646591 103596104 104108956 142444643 163599788 181293182 208217912 284889286 286299629 327199576 362586364 375535877 569778572 572599258 725172728 751071754 997112501 1139557144 1145198516 1502143508 1994225002 2290397032 2628751139 3004287016 3988450004 4130894647 5257502278 7976900008 8261789294 10515004556 16523578588 21030009112 28916262529 33047157176 57832525058 115665050116 231330100232