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10152419300 = 2252101524193
BaseRepresentation
bin10010111010010000…
…11001111111100100
3222012112120100002122
421131020121333210
5131243004404200
64355225325112
7506405066042
oct113510317744
928175510078
1010152419300
11433a859981
121b74036798
13c5a4555ca
146c44bb392
153e6469385
hex25d219fe4

10152419300 has 18 divisors (see below), whose sum is σ = 22030750098. Its totient is φ = 4060967680.

The previous prime is 10152419279. The next prime is 10152419317. The reversal of 10152419300 is 391425101.

It can be written as a sum of positive squares in 3 ways, for example, as 265298944 + 9887120356 = 16288^2 + 99434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10152419300.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50761997 + ... + 50762196.

It is an arithmetic number, because the mean of its divisors is an integer number (1223930561).

Almost surely, 210152419300 is an apocalyptic number.

10152419300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152419300 is an abundant number, since it is smaller than the sum of its proper divisors (11878330798).

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

10152419300 is a wasteful number, since it uses less digits than its factorization.

10152419300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101524207 (or 101524200 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10152419300 in words is "ten billion, one hundred fifty-two million, four hundred nineteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101524193 203048386 406096772 507620965 1015241930 2030483860 2538104825 5076209650 10152419300