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102630625000 = 2357164209
BaseRepresentation
bin101111110010101000…
…0110000111011101000
3100210220111121221100021
41133211100300323220
53140141420000000
6115051534250224
710262165630101
oct1374520607350
9323814557307
10102630625000
113a586348652
1217a82956974
1398a7815c97
144d785953a8
152a0a16911a
hex17e5430ee8

102630625000 has 64 divisors (see below), whose sum is σ = 240541376400. Its totient is φ = 41052000000.

The previous prime is 102630624983. The next prime is 102630625039. The reversal of 102630625000 is 526036201.

It can be written as a sum of positive squares in 8 ways, for example, as 101910346756 + 720278244 = 319234^2 + 26838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 542896 + ... + 707104.

Almost surely, 2102630625000 is an apocalyptic number.

102630625000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102630625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120270688200).

102630625000 is an abundant number, since it is smaller than the sum of its proper divisors (137910751400).

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

102630625000 is an frugal number, since it uses more digits than its factorization.

102630625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164250 (or 164216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 102630625000 in words is "one hundred two billion, six hundred thirty million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 62500 78125 125000 156250 164209 312500 328418 625000 656836 821045 1313672 1642090 3284180 4105225 6568360 8210450 16420900 20526125 32841800 41052250 82104500 102630625 164209000 205261250 410522500 513153125 821045000 1026306250 2052612500 2565765625 4105225000 5131531250 10263062500 12828828125 20526125000 25657656250 51315312500 102630625000