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10258131 = 313220233
BaseRepresentation
bin100111001000…
…011011010011
3201022011111210
4213020123103
510111230011
61003511203
7153123042
oct47103323
921264453
1010258131
1158770a4
123528503
132182200
141510559
15d796a6
hex9c86d3

10258131 has 12 divisors (see below), whose sum is σ = 14811288. Its totient is φ = 6312384.

The previous prime is 10258121. The next prime is 10258147. The reversal of 10258131 is 13185201.

10258131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10258131 - 26 = 10258067 is a prime.

It is a super-2 number, since 2×102581312 = 210458503226322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10258098 and 10258107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9610 + ... + 10623.

It is an arithmetic number, because the mean of its divisors is an integer number (1234274).

Almost surely, 210258131 is an apocalyptic number.

10258131 is a deficient number, since it is larger than the sum of its proper divisors (4553157).

10258131 is a wasteful number, since it uses less digits than its factorization.

10258131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20249 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10258131 is about 3202.8317158415. The cubic root of 10258131 is about 217.2814980971.

The spelling of 10258131 in words is "ten million, two hundred fifty-eight thousand, one hundred thirty-one".

Divisors: 1 3 13 39 169 507 20233 60699 263029 789087 3419377 10258131