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10103925160 = 2357145924733
BaseRepresentation
bin10010110100011110…
…11010100110101000
3222002011022120122101
421122033122212220
5131143101101120
64350334103144
7505245642520
oct113217324650
928064276571
1010103925160
11431544757a
121b5b94aab4
13c503a6754
146bbc96680
153e208a90a
hex25a3da9a8

10103925160 has 64 divisors (see below), whose sum is σ = 26000380800. Its totient is φ = 3461688576.

The previous prime is 10103925131. The next prime is 10103925179. The reversal of 10103925160 is 6152930101.

10103925160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396154 + ... + 420886.

It is an arithmetic number, because the mean of its divisors is an integer number (406255950).

Almost surely, 210103925160 is an apocalyptic number.

10103925160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103925160 is an abundant number, since it is smaller than the sum of its proper divisors (15896455640).

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

10103925160 is a wasteful number, since it uses less digits than its factorization.

10103925160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26210 (or 26206 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 10103925160 in words is "ten billion, one hundred three million, nine hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1459 2918 5836 7295 10213 11672 14590 20426 24733 29180 40852 49466 51065 58360 81704 98932 102130 123665 173131 197864 204260 247330 346262 408520 494660 692524 865655 989320 1385048 1731310 3462620 6925240 36085447 72170894 144341788 180427235 252598129 288683576 360854470 505196258 721708940 1010392516 1262990645 1443417880 2020785032 2525981290 5051962580 10103925160