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253644006131 = 294324730311
BaseRepresentation
bin1110110000111001011…
…1000110001011110011
3220020200212221112210022
43230032113012023303
513123430331144011
6312304503154055
724216351323225
oct3541627061363
9806625845708
10253644006131
119862a479a6a
12411a8a4592b
131abc3009139
14c3c2778415
1568e7bbe8db
hex3b0e5c62f3

253644006131 has 12 divisors (see below), whose sum is σ = 268634418480. Its totient is φ = 239202316080.

The previous prime is 253644006113. The next prime is 253644006157. The reversal of 253644006131 is 131600446352.

It is a de Polignac number, because none of the positive numbers 2k-253644006131 is a prime.

It is a super-2 number, since 2×2536440061312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253644006091 and 253644006100.

It is not an unprimeable number, because it can be changed into a prime (253644006631) 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, 2311535 + ... + 2418776.

It is an arithmetic number, because the mean of its divisors is an integer number (22386201540).

Almost surely, 2253644006131 is an apocalyptic number.

253644006131 is a deficient number, since it is larger than the sum of its proper divisors (14990412349).

253644006131 is an equidigital number, since it uses as much as digits as its factorization.

253644006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730426 (or 4730383 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 253644006131 in words is "two hundred fifty-three billion, six hundred forty-four million, six thousand, one hundred thirty-one".

Divisors: 1 29 43 1247 1849 53621 4730311 137179019 203403373 5898697817 8746345039 253644006131