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102265430556224 = 2613122915180957
BaseRepresentation
bin10111010000001010000110…
…101010010011111001000000
3111102002110221200120201011102
4113100022012222103321000
5101401004100210244344
61001300031253433532
730353301463144415
oct2720120652237100
9442073850521142
10102265430556224
112a648586549511
12b57788593b8a8
13450a786564a30
141b3795d57410c
15bc525a0c7e4e
hex5d0286a93e40

102265430556224 has 28 divisors (see below), whose sum is σ = 218543191743324. Its totient is φ = 47199429487104.

The previous prime is 102265430556167. The next prime is 102265430556241. The reversal of 102265430556224 is 422655034562201.

It can be written as a sum of positive squares in 2 ways, for example, as 7739746561600 + 94525683994624 = 2782040^2 + 9722432^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 61457589647 + ... + 61457591310.

It is an arithmetic number, because the mean of its divisors is an integer number (7805113990833).

Almost surely, 2102265430556224 is an apocalyptic number.

It is an amenable number.

102265430556224 is an abundant number, since it is smaller than the sum of its proper divisors (116277761187100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102265430556224 is a wasteful number, since it uses less digits than its factorization.

102265430556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122915180982 (or 122915180972 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 47.

The spelling of 102265430556224 in words is "one hundred two trillion, two hundred sixty-five billion, four hundred thirty million, five hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 122915180957 245830361914 491660723828 983321447656 1597897352441 1966642895312 3195794704882 3933285790624 6391589409764 7866571581248 12783178819528 25566357639056 51132715278112 102265430556224