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102057815400 = 23352170096359
BaseRepresentation
bin101111100001100011…
…1101010110101101000
3100202102120210012021220
41133003013222311220
53133003300043100
6114515033102040
710242042055212
oct1370307526550
9322376705256
10102057815400
113a311a81292
1217942b57920
139815c4a5a8
144d224895b2
1529c4c1caa0
hex17c31ead68

102057815400 has 48 divisors (see below), whose sum is σ = 316379229600. Its totient is φ = 27215417280.

The previous prime is 102057815359. The next prime is 102057815423. The reversal of 102057815400 is 4518750201.

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, 85047580 + ... + 85048779.

It is an arithmetic number, because the mean of its divisors is an integer number (6591233950).

Almost surely, 2102057815400 is an apocalyptic number.

102057815400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102057815400 is an abundant number, since it is smaller than the sum of its proper divisors (214321414200).

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

102057815400 is a wasteful number, since it uses less digits than its factorization.

102057815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170096378 (or 170096369 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 102057815400 in words is "one hundred two billion, fifty-seven million, eight hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 170096359 340192718 510289077 680385436 850481795 1020578154 1360770872 1700963590 2041156308 2551445385 3401927180 4082312616 4252408975 5102890770 6803854360 8504817950 10205781540 12757226925 17009635900 20411563080 25514453850 34019271800 51028907700 102057815400