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231120221202 = 23213892124693
BaseRepresentation
bin1101011100111111010…
…1101011010000010010
3211002120011110201110200
43113033311223100102
512241313234034302
6254101500240030
722461242315613
oct3271765532022
9732504421420
10231120221202
118a021380a82
1238961840016
1318a437c4c50
14b28720dc0a
15602a5ca81c
hex35cfd6b412

231120221202 has 72 divisors (see below), whose sum is σ = 545412304164. Its totient is φ = 70314317568.

The previous prime is 231120221191. The next prime is 231120221207. The reversal of 231120221202 is 202122021132.

231120221202 is a `hidden beast` number, since 231 + 12 + 0 + 221 + 202 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2597023521 + 228523197681 = 50961^2 + 478041^2 .

It is a super-2 number, since 2×2311202212022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231120221207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1791168 + ... + 1915860.

Almost surely, 2231120221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231120221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272706152082).

231120221202 is an abundant number, since it is smaller than the sum of its proper divisors (314292082962).

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

231120221202 is a wasteful number, since it uses less digits than its factorization.

231120221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124892 (or 124800 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231120221202 its reverse (202122021132), we get a palindrome (433242242334).

The spelling of 231120221202 in words is "two hundred thirty-one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 7921 10413 15842 20826 23763 47526 71289 102973 124693 142578 205946 249386 308919 374079 617838 748158 926757 1122237 1621009 1853514 2244474 3242018 4863027 9726054 11097677 14589081 22195354 29178162 33293031 66586062 99879093 144269801 199758186 288539602 432809403 865618806 987693253 1298428209 1975386506 2596856418 2963079759 5926159518 8889239277 12840012289 17778478554 25680024578 38520036867 77040073734 115560110601 231120221202