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31114422441113 = 1113140159239091
BaseRepresentation
bin1110001001100011001000…
…00110001101010010011001
311002011111202121010110001112
413010301210012031102121
513034234314121103423
6150101433543430105
76360641252011064
oct704614406152231
9132144677113045
1031114422441113
119a06609353570
1235a6225155335
1314491011c423b
14797d360938db
1538e556a05a78
hex1c4c6418d499

31114422441113 has 32 divisors (see below), whose sum is σ = 34296966342144. Its totient is φ = 27992109600000.

The previous prime is 31114422441103. The next prime is 31114422441121.

31114422441113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31114422441113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31114422441113.

It is not an unprimeable number, because it can be changed into a prime (31114422441103) 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, 3422547698 + ... + 3422556788.

It is an arithmetic number, because the mean of its divisors is an integer number (1071780198192).

Almost surely, 231114422441113 is an apocalyptic number.

It is an amenable number.

31114422441113 is a deficient number, since it is larger than the sum of its proper divisors (3182543901031).

31114422441113 is a wasteful number, since it uses less digits than its factorization.

31114422441113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15557.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 3111442 and 2441113, that added together give a palindrome (5552555).

The spelling of 31114422441113 in words is "thirty-one trillion, one hundred fourteen billion, four hundred twenty-two million, four hundred forty-one thousand, one hundred thirteen".

Divisors: 1 11 131 401 1441 4411 5923 9091 52531 65153 100001 577841 775913 1190921 2375123 3645491 8535043 13100131 26126353 40100401 53845993 311141113 477559321 592305923 3422552243 5253152531 7053825083 21592243193 77592075913 237514675123 2828583858283 31114422441113