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31371311712 = 2531328978677
BaseRepresentation
bin11101001101111000…
…000011101001100000
32222222022122202101210
4131031320003221200
51003222023433322
622224540030120
72160260515116
oct351570035140
988868582353
1031371311712
11123393188a4
1260b6232340
132c5c50a950
14173860dab6
15c3920370c
hex74de03a60

31371311712 has 96 divisors (see below), whose sum is σ = 88725121632. Its totient is φ = 9648267264.

The previous prime is 31371311687. The next prime is 31371311723. The reversal of 31371311712 is 21711317313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31371311712.

It is a congruent number.

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, 3611118 + ... + 3619794.

It is an arithmetic number, because the mean of its divisors is an integer number (924220017).

Almost surely, 231371311712 is an apocalyptic number.

31371311712 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 31371311712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44362560816).

31371311712 is an abundant number, since it is smaller than the sum of its proper divisors (57353809920).

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

31371311712 is a wasteful number, since it uses less digits than its factorization.

31371311712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600 (or 11592 counting only the distinct ones).

The product of its digits is 2646, while the sum is 30.

The spelling of 31371311712 in words is "thirty-one billion, three hundred seventy-one million, three hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2897 5794 8677 8691 11588 17354 17382 23176 26031 34708 34764 37661 46352 52062 69416 69528 75322 92704 104124 112801 112983 138832 139056 150644 208248 225602 225966 277664 278112 301288 338403 416496 451204 451932 602576 676806 832992 902408 903864 1205152 1353612 1804816 1807728 2707224 3609632 3615456 5414448 10828896 25137269 50274538 75411807 100549076 150823614 201098152 301647228 326784497 402196304 603294456 653568994 804392608 980353491 1206588912 1307137988 1960706982 2413177824 2614275976 3921413964 5228551952 7842827928 10457103904 15685655856 31371311712