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131102012136 = 23344913039337
BaseRepresentation
bin111101000011001001…
…0011111001011101000
3110112101201120021002010
41322012102133023220
54121444103342021
6140121043035520
712320554500504
oct1720622371350
9415351507063
10131102012136
1150666739167
12214a996bba0
13c4942ab314
1464b99ad304
153624995976
hex1e8649f2e8

131102012136 has 64 divisors (see below), whose sum is σ = 328772304000. Its totient is φ = 43565211648.

The previous prime is 131102012117. The next prime is 131102012137. The reversal of 131102012136 is 631210201131.

It is a super-2 number, since 2×1311020121362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131102012137) 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 15 ways as a sum of consecutive naturals, for example, 14036460 + ... + 14045796.

It is an arithmetic number, because the mean of its divisors is an integer number (5137067250).

Almost surely, 2131102012136 is an apocalyptic number.

It is an amenable number.

131102012136 is an abundant number, since it is smaller than the sum of its proper divisors (197670291864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131102012136 is a wasteful number, since it uses less digits than its factorization.

131102012136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131102012136 its reverse (631210201131), we get a palindrome (762312213267).

The spelling of 131102012136 in words is "one hundred thirty-one billion, one hundred two million, twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 449 898 1303 1347 1796 2606 2694 3592 3909 5212 5388 7818 9337 10424 10776 15636 18674 28011 31272 37348 56022 74696 112044 224088 585047 1170094 1755141 2340188 3510282 4192313 4680376 7020564 8384626 12166111 12576939 14041128 16769252 24332222 25153878 33538504 36498333 48664444 50307756 72996666 97328888 100615512 145993332 291986664 5462583839 10925167678 16387751517 21850335356 32775503034 43700670712 65551006068 131102012136