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107107441357 = 7471148328351
BaseRepresentation
bin110001111000000011…
…0011101101011001101
3101020110111112202212111
41203300012131223031
53223324001110412
6121112100104021
710511136141610
oct1436006355315
9336414482774
10107107441357
11414733a3a84
1218912095011
13a13c163247
145280d88177
152bbd1c82a7
hex18f019dacd

107107441357 has 16 divisors (see below), whose sum is σ = 125028237312. Its totient is φ = 89842057200.

The previous prime is 107107441351. The next prime is 107107441369. The reversal of 107107441357 is 753144701701.

It is not a de Polignac number, because 107107441357 - 23 = 107107441349 is a prime.

It is a super-2 number, since 2×1071074413572 (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 (107107441351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3763732 + ... + 3792082.

It is an arithmetic number, because the mean of its divisors is an integer number (7814264832).

Almost surely, 2107107441357 is an apocalyptic number.

It is an amenable number.

107107441357 is a deficient number, since it is larger than the sum of its proper divisors (17920795955).

107107441357 is a wasteful number, since it uses less digits than its factorization.

107107441357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39888.

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 107107441357 in words is "one hundred seven billion, one hundred seven million, four hundred forty-one thousand, three hundred fifty-seven".

Divisors: 1 7 47 329 11483 28351 80381 198457 539701 1332497 3777907 9327479 325554533 2278881731 15301063051 107107441357