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31111331020 = 22571161331183
BaseRepresentation
bin11100111110011000…
…010011110011001100
32222022012110100221021
4130332120103303030
51002204000043040
622143051443524
72150652643660
oct347630236314
988265410837
1031111331020
1112215598520
1260431565a4
132c1a6b2413
141711c968a0
15c2149c24a
hex73e613ccc

31111331020 has 96 divisors (see below), whose sum is σ = 82790701056. Its totient is φ = 9538041600.

The previous prime is 31111330963. The next prime is 31111331023. The reversal of 31111331020 is 2013311113.

It is a super-3 number, since 3×311113310203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31111330985 and 31111331003.

It is not an unprimeable number, because it can be changed into a prime (31111331023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71652 + ... + 259531.

It is an arithmetic number, because the mean of its divisors is an integer number (862403136).

Almost surely, 231111331020 is an apocalyptic number.

It is an amenable number.

31111331020 is an abundant number, since it is smaller than the sum of its proper divisors (51679370036).

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

31111331020 is a wasteful number, since it uses less digits than its factorization.

31111331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331271 (or 331269 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31111331020 its reverse (2013311113), we get a palindrome (33124642133).

The spelling of 31111331020 in words is "thirty-one billion, one hundred eleven million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1540 1708 2135 2684 3355 4270 4697 6710 8540 9394 13420 18788 23485 46970 93940 331183 662366 1324732 1655915 2318281 3311830 3643013 4636562 6623660 7286026 9273124 11591405 14572052 18215065 20202163 23182810 25501091 36430130 40404326 46365620 51002182 72860260 80808652 101010815 102004364 127505455 141415141 202021630 222223793 255010910 282830282 404043260 444447586 510021820 565660564 707075705 888895172 1111118965 1414151410 1555566551 2222237930 2828302820 3111133102 4444475860 6222266204 7777832755 15555665510 31111331020