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31124242113 = 37310113710271
BaseRepresentation
bin11100111111001001…
…100011111011000001
32222100002202022121220
4130333021203323001
51002220301221423
622144232305253
72151200456436
oct347711437301
988302668556
1031124242113
1112221906848
126047542229
132c20283013
141713897b8d
15c2269c9e3
hex73f263ec1

31124242113 has 32 divisors (see below), whose sum is σ = 42798246912. Its totient is φ = 20112768000.

The previous prime is 31124242111. The next prime is 31124242187.

31124242113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31124242113 - 21 = 31124242111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31124242111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025168 + ... + 3035438.

It is an arithmetic number, because the mean of its divisors is an integer number (1337445216).

Almost surely, 231124242113 is an apocalyptic number.

It is an amenable number.

31124242113 is a deficient number, since it is larger than the sum of its proper divisors (11674004799).

31124242113 is a wasteful number, since it uses less digits than its factorization.

31124242113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585.

The product of its digits is 1152, while the sum is 24.

The spelling of 31124242113 in words is "thirty-one billion, one hundred twenty-four million, two hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 73 101 137 219 303 411 7373 10001 10271 13837 22119 30003 30813 41511 749783 1010101 1037371 1407127 2249349 3030303 3112113 4221381 75728083 102720271 142119827 227184249 308160813 426359481 10374747371 31124242113