Search a number
-
+
31110122101113 = 32111916539139873
BaseRepresentation
bin1110001001011011000111…
…10001101101100101111001
311002011002122220021112120200
413010231203301231211321
513034202012224213423
6150055443124312413
76360426553510506
oct704554361554571
9132132586245520
1031110122101113
119a04801983470
1235a5424b42709
1314488972b6063
14797a48cbc4ad
1538e3a4205d43
hex1c4b63c6d979

31110122101113 has 24 divisors (see below), whose sum is σ = 51602116406880. Its totient is φ = 17862271061760.

The previous prime is 31110122101109. The next prime is 31110122101127.

31110122101113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31110122101113 - 22 = 31110122101109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31110122101193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8269568056 + ... + 8269571817.

It is an arithmetic number, because the mean of its divisors is an integer number (2150088183620).

Almost surely, 231110122101113 is an apocalyptic number.

31110122101113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31110122101113 is a deficient number, since it is larger than the sum of its proper divisors (20491994305767).

31110122101113 is a wasteful number, since it uses less digits than its factorization.

31110122101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539139909 (or 16539139906 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 3111012 and 2101113, that added together give a palindrome (5212125).

The spelling of 31110122101113 in words is "thirty-one trillion, one hundred ten billion, one hundred twenty-two million, one hundred one thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 16539139873 49617419619 148852258857 181930538603 314243657587 545791615809 942730972761 1637374847427 2828192918283 3456680233457 10370040700371 31110122101113