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105234431525 = 5237113766953
BaseRepresentation
bin110001000000001110…
…1011111111000100101
3101001121222011000101222
41202000131133320211
53211010003302100
6120202151030125
710413543623546
oct1420035377045
9331558130358
10105234431525
11406a2102a73
121848a96b345
139c010bc6c2
1451443084cd
152b0da4c485
hex188075fe25

105234431525 has 12 divisors (see below), whose sum is σ = 134017471812. Its totient is φ = 81912205440.

The previous prime is 105234431521. The next prime is 105234431557. The reversal of 105234431525 is 525134432501.

It can be written as a sum of positive squares in 6 ways, for example, as 1023616036 + 104210815489 = 31994^2 + 322817^2 .

It is not a de Polignac number, because 105234431525 - 22 = 105234431521 is a prime.

It is a super-2 number, since 2×1052344315252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234431521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56882552 + ... + 56884401.

It is an arithmetic number, because the mean of its divisors is an integer number (11168122651).

Almost surely, 2105234431525 is an apocalyptic number.

It is an amenable number.

105234431525 is a deficient number, since it is larger than the sum of its proper divisors (28783040287).

105234431525 is a wasteful number, since it uses less digits than its factorization.

105234431525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113767000 (or 113766995 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 105234431525 in words is "one hundred five billion, two hundred thirty-four million, four hundred thirty-one thousand, five hundred twenty-five".

Divisors: 1 5 25 37 185 925 113766953 568834765 2844173825 4209377261 21046886305 105234431525