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107106228965 = 5373449167861
BaseRepresentation
bin110001111000000000…
…1110101101011100101
3101020110102021011210002
41203300001311223211
53223323143311330
6121112014111045
710511122632131
oct1436001655345
9336412234702
10107106228965
11414727460aa
12189117ab485
13a13bb2a458
145280b503c1
152bbd038e45
hex18f0075ae5

107106228965 has 16 divisors (see below), whose sum is σ = 132040249200. Its totient is φ = 83344504320.

The previous prime is 107106228941. The next prime is 107106228979. The reversal of 107106228965 is 569822601701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 360924004 + 106745304961 = 18998^2 + 326719^2 .

It is not a de Polignac number, because 107106228965 - 28 = 107106228709 is a prime.

It is a super-2 number, since 2×1071062289652 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554135 + ... + 721995.

It is an arithmetic number, because the mean of its divisors is an integer number (8252515575).

Almost surely, 2107106228965 is an apocalyptic number.

It is an amenable number.

107106228965 is a deficient number, since it is larger than the sum of its proper divisors (24934020235).

107106228965 is a wasteful number, since it uses less digits than its factorization.

107106228965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171352.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 107106228965 in words is "one hundred seven billion, one hundred six million, two hundred twenty-eight thousand, nine hundred sixty-five".

Divisors: 1 5 37 185 3449 17245 127613 167861 638065 839305 6210857 31054285 578952589 2894762945 21421245793 107106228965