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130124343313431 = 3243895137564363
BaseRepresentation
bin11101100101100011101111…
…010000101000010000010111
3122001201202200012220002012200
4131211203233100220100113
5114023424123342012211
61140430144214415543
736260113350345315
oct3545435720502027
9561652605802180
10130124343313431
1138509473513a85
1212716b773615b3
13577b8995457ac
14241c0a22a50b5
151009c759dbb56
hex7658ef428417

130124343313431 has 24 divisors (see below), whose sum is σ = 192349978694016. Its totient is φ = 84722662054800.

The previous prime is 130124343313427. The next prime is 130124343313439. The reversal of 130124343313431 is 134313343421031.

130124343313431 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 243 + 43 + 31 + 343 + 1 = 666.

It is not a de Polignac number, because 130124343313431 - 22 = 130124343313427 is a prime.

It is a super-2 number, since 2×1301243433134312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130124343313439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15318145 + ... + 22246218.

It is an arithmetic number, because the mean of its divisors is an integer number (8014582445584).

Almost surely, 2130124343313431 is an apocalyptic number.

130124343313431 is a deficient number, since it is larger than the sum of its proper divisors (62225635380585).

130124343313431 is a wasteful number, since it uses less digits than its factorization.

130124343313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37573363 (or 37573360 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 130124343313431 its reverse (134313343421031), we get a palindrome (264437686734462).

The spelling of 130124343313431 in words is "one hundred thirty trillion, one hundred twenty-four billion, three hundred forty-three million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 43 129 387 8951 26853 80559 384893 1154679 3464037 37564363 112693089 338079267 1615267609 4845802827 14537408481 336238613213 1008715839639 3026147518917 14458260368159 43374781104477 130124343313431