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31212231232 = 2671322723609
BaseRepresentation
bin11101000100011001…
…001101101001000000
32222120020022122000011
4131010121031221000
51002410312344412
622201054234304
72153316405460
oct350431155100
988506278004
1031212231232
1112267544326
126070ab5994
132c3557c8a0
14172143dba0
15c2a27d7a7
hex74464da40

31212231232 has 112 divisors (see below), whose sum is σ = 76568929920. Its totient is φ = 12292780032.

The previous prime is 31212231227. The next prime is 31212231263. The reversal of 31212231232 is 23213221213.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1310244 + ... + 1333852.

It is an arithmetic number, because the mean of its divisors is an integer number (683651160).

Almost surely, 231212231232 is an apocalyptic number.

31212231232 is a gapful number since it is divisible by the number (32) 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 31212231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38284464960).

31212231232 is an abundant number, since it is smaller than the sum of its proper divisors (45356698688).

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

31212231232 is a wasteful number, since it uses less digits than its factorization.

31212231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23868 (or 23858 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 31212231232 its reverse (23213221213), we get a palindrome (54425452445).

The spelling of 31212231232 in words is "thirty-one billion, two hundred twelve million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 227 364 416 448 454 728 832 908 1456 1589 1816 2912 2951 3178 3632 5824 5902 6356 7264 11804 12712 14528 20657 23608 23609 25424 41314 47216 47218 50848 82628 94432 94436 101696 165256 165263 188864 188872 306917 330512 330526 377744 613834 661024 661052 755488 1227668 1322048 1322104 1510976 2148419 2455336 2644208 4296838 4910672 5288416 5359243 8593676 9821344 10576832 10718486 17187352 19642688 21436972 34374704 37514701 42873944 68749408 69670159 75029402 85747888 137498816 139340318 150058804 171495776 278680636 300117608 342991552 487691113 557361272 600235216 975382226 1114722544 1200470432 1950764452 2229445088 2400940864 3901528904 4458890176 7803057808 15606115616 31212231232