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107114025524513 = 7143357587185429
BaseRepresentation
bin11000010110101101101101…
…011100010001110100100001
3112001021000000121102022112112
4120112231231130101310201
5103014424011013241023
61015451300511005105
731363506256315130
oct3026555534216441
9461230017368475
10107114025524513
1131147891a51797
121001b4ba509795
13479ca69c58a27
141c644bcb07917
15c5b4356ce478
hex616b6d711d21

107114025524513 has 16 divisors (see below), whose sum is σ = 122504243460480. Its totient is φ = 91745864094336.

The previous prime is 107114025524461. The next prime is 107114025524591. The reversal of 107114025524513 is 315425520411701.

It is a cyclic number.

It is not a de Polignac number, because 107114025524513 - 212 = 107114025520417 is a prime.

It is a super-2 number, since 2×1071140255245132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107114025524713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577562483 + ... + 577747911.

It is an arithmetic number, because the mean of its divisors is an integer number (7656515216280).

Almost surely, 2107114025524513 is an apocalyptic number.

It is an amenable number.

107114025524513 is a deficient number, since it is larger than the sum of its proper divisors (15390217935967).

107114025524513 is a wasteful number, since it uses less digits than its factorization.

107114025524513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244456.

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 107114025524513 in words is "one hundred seven trillion, one hundred fourteen billion, twenty-five million, five hundred twenty-four thousand, five hundred thirteen".

Divisors: 1 7 1433 10031 57587 185429 403109 1298003 82522171 265719757 577655197 1860038299 10678299823 74748098761 15302003646359 107114025524513