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10106631025 = 52577700633
BaseRepresentation
bin10010110100110011…
…01111001101110001
3222002100102001101121
421122121233031301
5131144244143100
64350512102241
7505310642401
oct113231571561
928070361347
1010106631025
114316a25527
121b60834981
13c50b1325a
146bc39c801
153e242251a
hex25a66f371

10106631025 has 12 divisors (see below), whose sum is σ = 12553960012. Its totient is φ = 8071280640.

The previous prime is 10106631023. The next prime is 10106631061. The reversal of 10106631025 is 52013660101.

It can be written as a sum of positive squares in 6 ways, for example, as 3149903376 + 6956727649 = 56124^2 + 83407^2 .

It is not a de Polignac number, because 10106631025 - 21 = 10106631023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10106631023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335892 + ... + 364741.

Almost surely, 210106631025 is an apocalyptic number.

It is an amenable number.

10106631025 is a deficient number, since it is larger than the sum of its proper divisors (2447328987).

10106631025 is an equidigital number, since it uses as much as digits as its factorization.

10106631025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701220 (or 701215 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 10106631025 in words is "ten billion, one hundred six million, six hundred thirty-one thousand, twenty-five".

Divisors: 1 5 25 577 2885 14425 700633 3503165 17515825 404265241 2021326205 10106631025