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131013014402430 = 232511091971312391
BaseRepresentation
bin11101110010011111011000…
…001011110011010101111110
3122011212201111020022212010200
4131302133120023303111332
5114133004123141334210
61142350314204144330
736411243426101646
oct3562373013632576
9564781436285120
10131013014402430
1138821342145306
121283b2495380a6
135814621bc6064
14244d0c6c3d526
151022e386590c0
hex7727d82f357e

131013014402430 has 48 divisors (see below), whose sum is σ = 340634404098144. Its totient is φ = 34936745722560.

The previous prime is 131013014402423. The next prime is 131013014402539. The reversal of 131013014402430 is 34204410310131.

131013014402430 is a `hidden beast` number, since 1 + 310 + 1 + 301 + 4 + 4 + 0 + 2 + 43 + 0 = 666.

It is a super-2 number, since 2×1310130144024302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131013014402394 and 131013014402403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99171535 + ... + 100483925.

It is an arithmetic number, because the mean of its divisors is an integer number (7096550085378).

Almost surely, 2131013014402430 is an apocalyptic number.

131013014402430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131013014402430 is an abundant number, since it is smaller than the sum of its proper divisors (209621389695714).

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

131013014402430 is a wasteful number, since it uses less digits than its factorization.

131013014402430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421601 (or 2421598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131013014402430 its reverse (34204410310131), we get a palindrome (165217424712561).

The spelling of 131013014402430 in words is "one hundred thirty-one trillion, thirteen billion, fourteen million, four hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1109197 1312391 2218394 2624782 3327591 3937173 5545985 6561955 6655182 7874346 9982773 11091970 11811519 13123910 16637955 19685865 19965546 23623038 33275910 39371730 49913865 59057595 99827730 118115190 1455700160027 2911400320054 4367100480081 7278500800135 8734200960162 13101301440243 14557001600270 21835502400405 26202602880486 43671004800810 65506507201215 131013014402430