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102314125044 = 22324017087429
BaseRepresentation
bin101111101001001100…
…1011010011011110100
3100210002110002002000200
41133102121122123310
53134014404000134
6115000310440500
710251303466515
oct1372231323364
9323073062020
10102314125044
113a43372453a
12179b4963130
13985708bbc1
144d48528a0c
1529dc49b499
hex17d265a6f4

102314125044 has 36 divisors (see below), whose sum is σ = 259272364260. Its totient is φ = 34019654400.

The previous prime is 102314125021. The next prime is 102314125093. The reversal of 102314125044 is 440521413201.

102314125044 is a `hidden beast` number, since 10 + 2 + 3 + 141 + 2 + 504 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68362377444 + 33951747600 = 261462^2 + 184260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 102314124999 and 102314125017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3529279 + ... + 3558150.

Almost surely, 2102314125044 is an apocalyptic number.

It is an amenable number.

102314125044 is an abundant number, since it is smaller than the sum of its proper divisors (156958239216).

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

102314125044 is a wasteful number, since it uses less digits than its factorization.

102314125044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087840 (or 7087835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102314125044 its reverse (440521413201), we get a palindrome (542835538245).

The spelling of 102314125044 in words is "one hundred two billion, three hundred fourteen million, one hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 7218 14436 7087429 14174858 21262287 28349716 42524574 63786861 85049148 127573722 255147444 2842059029 5684118058 8526177087 11368236116 17052354174 25578531261 34104708348 51157062522 102314125044