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34131425113 = 172374497109
BaseRepresentation
bin11111110010011001…
…000011011101011001
310021002200022001012001
4133302121003131121
51024400121100423
623402454521001
72315544220012
oct376231033531
9107080261161
1034131425113
1113525332955
126746666161
1332ac2b0b46
14191b010009
15d4b6aecad
hex7f2643759

34131425113 has 24 divisors (see below), whose sum is σ = 37325367000. Its totient is φ = 31181488128.

The previous prime is 34131425063. The next prime is 34131425123. The reversal of 34131425113 is 31152413143.

It can be written as a sum of positive squares in 12 ways, for example, as 5143824 + 34126281289 = 2268^2 + 184733^2 .

It is a de Polignac number, because none of the positive numbers 2k-34131425113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34131425123) 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, 4797603 + ... + 4804711.

It is an arithmetic number, because the mean of its divisors is an integer number (1555223625).

Almost surely, 234131425113 is an apocalyptic number.

It is an amenable number.

34131425113 is a deficient number, since it is larger than the sum of its proper divisors (3193941887).

34131425113 is a wasteful number, since it uses less digits than its factorization.

34131425113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629 (or 7612 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

Adding to 34131425113 its reverse (31152413143), we get a palindrome (65283838256).

The spelling of 34131425113 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-five thousand, one hundred thirteen".

Divisors: 1 17 37 289 449 629 7109 7633 10693 16613 120853 129761 263033 282421 2054501 3191941 4471561 4801157 54262997 76016537 118101817 922470949 2007730889 34131425113