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23231311313232 = 24311377116748647
BaseRepresentation
bin1010100100000111101100…
…00011101111100101010000
310001020220002000202222120010
411102003312003233211100
511021110211144010412
6121224152253514520
74615256360011341
oct522036603574520
9101226060688503
1023231311313232
117447386662a90
1227324731a2a40
13cc691b094389
145a45898a80c8
152a447685033c
hex1520f60ef950

23231311313232 has 160 divisors (see below), whose sum is σ = 68186559780864. Its totient is φ = 6753054067200.

The previous prime is 23231311313101. The next prime is 23231311313233.

23231311313232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232313113132322 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23231311313232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231311313233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6987268 + ... + 9761379.

Almost surely, 223231311313232 is an apocalyptic number.

23231311313232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23231311313232 is an abundant number, since it is smaller than the sum of its proper divisors (44955248467632).

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

23231311313232 is a wasteful number, since it uses less digits than its factorization.

23231311313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16748777 (or 16748771 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2323131 and 1313232, that added together give a palindrome (3636363).

The spelling of 23231311313232 in words is "twenty-three trillion, two hundred thirty-one billion, three hundred eleven million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 71 74 88 111 132 142 148 176 213 222 264 284 296 407 426 444 528 568 592 781 814 852 888 1136 1221 1562 1628 1704 1776 2343 2442 2627 3124 3256 3408 4686 4884 5254 6248 6512 7881 9372 9768 10508 12496 15762 18744 19536 21016 28897 31524 37488 42032 57794 63048 86691 115588 126096 173382 231176 346764 462352 693528 1387056 16748647 33497294 50245941 66994588 100491882 133989176 184235117 200983764 267978352 368470234 401967528 552705351 619699939 736940468 803935056 1105410702 1189153937 1239399878 1473880936 1859099817 2210821404 2378307874 2478799756 2947761872 3567461811 3718199634 4421642808 4756615748 4957599512 6816699329 7134923622 7436399268 8843285616 9513231496 9915199024 13080693307 13633398658 14269847244 14872798536 19026462992 20450097987 26161386614 27266797316 28539694488 29745597072 39242079921 40900195974 43998695669 52322773228 54533594632 57079388976 78484159842 81800391948 87997391338 104645546456 109067189264 131996087007 156968319684 163600783896 175994782676 209291092912 263992174014 313936639368 327201567792 351989565352 483985652359 527984348028 627873278736 703979130704 967971304718 1055968696056 1451956957077 1935942609436 2111937392112 2903913914154 3871885218872 5807827828308 7743770437744 11615655656616 23231311313232