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512402103125 = 551121355113
BaseRepresentation
bin1110111010011011000…
…10111001101101010101
31210222121011221211101022
413131031202321231111
531343344414300000
61031221055210525
752006542004403
oct7351542715525
91728534854338
10512402103125
111883436a1100
1283382516a45
133941c6ac233
141ab2c3d2473
15d4de830585
hex774d8b9b55

512402103125 has 36 divisors (see below), whose sum is σ = 703979012772. Its totient is φ = 372655800000.

The previous prime is 512402103121. The next prime is 512402103133. The reversal of 512402103125 is 521301204215.

It can be written as a sum of positive squares in 6 ways, for example, as 389564470801 + 122837632324 = 624151^2 + 350482^2 .

It is not a de Polignac number, because 512402103125 - 22 = 512402103121 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 512402103094 and 512402103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512402103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299432 + ... + 1055681.

It is an arithmetic number, because the mean of its divisors is an integer number (19554972577).

Almost surely, 2512402103125 is an apocalyptic number.

512402103125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

512402103125 is a deficient number, since it is larger than the sum of its proper divisors (191576909647).

512402103125 is an equidigital number, since it uses as much as digits as its factorization.

512402103125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355160 (or 1355129 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 512402103125 in words is "five hundred twelve billion, four hundred two million, one hundred three thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 3025 3125 6875 15125 34375 75625 378125 1355113 6775565 14906243 33877825 74531215 163968673 169389125 372656075 819843365 846945625 1863280375 4099216825 4234728125 9316401875 20496084125 46582009375 102480420625 512402103125