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31114122141113 = 1117235793705643
BaseRepresentation
bin1110001001100010100100…
…01100101001110110111001
311002011110222200001121220022
413010301102030221312321
513034233210232003423
6150101344055140225
76360630644341634
oct704612214516671
9132143880047808
1031114122141113
119a06474894750
1235a6160674675
131449083c1ca2b
14797d08242c1b
1538e53a487dc8
hex1c4c52329db9

31114122141113 has 16 divisors (see below), whose sum is σ = 35939510208576. Its totient is φ = 26621558154240.

The previous prime is 31114122141083. The next prime is 31114122141127.

31114122141113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31114122141113 - 26 = 31114122141049 is a prime.

It is a super-2 number, since 2×311141221411132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31114122141913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43740470 + ... + 44446112.

It is an arithmetic number, because the mean of its divisors is an integer number (2246219388036).

Almost surely, 231114122141113 is an apocalyptic number.

It is an amenable number.

31114122141113 is a deficient number, since it is larger than the sum of its proper divisors (4825388067463).

31114122141113 is a wasteful number, since it uses less digits than its factorization.

31114122141113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941464.

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 3111412 and 2141113, that added together give a palindrome (5252525).

The spelling of 31114122141113 in words is "thirty-one trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, one hundred thirteen".

Divisors: 1 11 17 187 235793 705643 2593723 4008481 7762073 11995931 44093291 131955241 166385679899 1830242478889 2828556558283 31114122141113