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10020512520 = 2332527834757
BaseRepresentation
bin10010101010100010…
…01110001100001000
3221212100100210000100
421111101032030020
5131010222400040
64334154205400
7503213644134
oct112521161410
927770323010
1010020512520
114282355407
121b37a23860
13c3901cc65
146b0b823c4
153d9ab0b30
hex25544e308

10020512520 has 48 divisors (see below), whose sum is σ = 32566666860. Its totient is φ = 2672136576.

The previous prime is 10020512507. The next prime is 10020512527. The reversal of 10020512520 is 2521502001.

10020512520 is a `hidden beast` number, since 100 + 2 + 0 + 512 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10017207396 + 3305124 = 100086^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10020512493 and 10020512502.

It is not an unprimeable number, because it can be changed into a prime (10020512527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13917019 + ... + 13917738.

Almost surely, 210020512520 is an apocalyptic number.

10020512520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020512520 is an abundant number, since it is smaller than the sum of its proper divisors (22546154340).

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

10020512520 is a wasteful number, since it uses less digits than its factorization.

10020512520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27834774 (or 27834767 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 10020512520 in words is "ten billion, twenty million, five hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27834757 55669514 83504271 111339028 139173785 167008542 222678056 250512813 278347570 334017084 417521355 501025626 556695140 668034168 835042710 1002051252 1113390280 1252564065 1670085420 2004102504 2505128130 3340170840 5010256260 10020512520