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36121513131 = 32113154721517
BaseRepresentation
bin100001101001000000…
…101000110010101011
310110020100222222201200
4201221000220302223
51042434101410011
624332145215243
72416060536624
oct415100506253
9113210888650
1036121513131
111435671a4a0
127001031523
133538697712
141a69448a4b
15e16265856
hex869028cab

36121513131 has 48 divisors (see below), whose sum is σ = 58864985088. Its totient is φ = 21145924800.

The previous prime is 36121513123. The next prime is 36121513157. The reversal of 36121513131 is 13131512163.

It is a happy number.

36121513131 is a `hidden beast` number, since 3 + 6 + 12 + 1 + 513 + 131 = 666.

It is not a de Polignac number, because 36121513131 - 23 = 36121513123 is a prime.

It is a super-2 number, since 2×361215131312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36121513095 and 36121513104.

It is not an unprimeable number, because it can be changed into a prime (36121513121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667985 + ... + 1689501.

It is an arithmetic number, because the mean of its divisors is an integer number (1226353856).

Almost surely, 236121513131 is an apocalyptic number.

36121513131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

36121513131 is a deficient number, since it is larger than the sum of its proper divisors (22743471957).

36121513131 is a wasteful number, since it uses less digits than its factorization.

36121513131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22112 (or 22109 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The spelling of 36121513131 in words is "thirty-six billion, one hundred twenty-one million, five hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 547 1023 1641 3069 4923 6017 16957 18051 21517 50871 54153 64551 152613 186527 193653 236687 559581 667027 710061 1678743 2001081 2130183 6003243 7337297 11769799 22011891 35309397 66035673 105928191 129467789 364863769 388403367 1094591307 1165210101 3283773921 4013501459 12040504377 36121513131