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102550312431 = 3272419739751
BaseRepresentation
bin101111110000001111…
…0011001010111101111
3100210200220111122012200
41133200132121113233
53140010334444211
6115035545032543
710260202162500
oct1374036312757
9323626448180
10102550312431
113a544a83626
1217a5ba85753
139893ca6558
144d6ba4aba7
152a030a2b56
hex17e07995ef

102550312431 has 72 divisors (see below), whose sum is σ = 173187705600. Its totient is φ = 58303476000.

The previous prime is 102550312399. The next prime is 102550312477. The reversal of 102550312431 is 134213055201.

102550312431 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 503 + 124 + 31 = 666.

It is not a de Polignac number, because 102550312431 - 25 = 102550312399 is a prime.

It is a super-2 number, since 2×1025503124312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102550312395 and 102550312404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102550312481) 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 71 ways as a sum of consecutive naturals, for example, 136551306 + ... + 136552056.

It is an arithmetic number, because the mean of its divisors is an integer number (2405384800).

Almost surely, 2102550312431 is an apocalyptic number.

102550312431 is a deficient number, since it is larger than the sum of its proper divisors (70637393169).

102550312431 is a wasteful number, since it uses less digits than its factorization.

102550312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102550312431 its reverse (134213055201), we get a palindrome (236763367632).

The spelling of 102550312431 in words is "one hundred two billion, five hundred fifty million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 419 441 739 751 1257 2217 2253 2933 3771 5173 5257 6651 6759 8799 15519 15771 20531 26397 36211 36799 46557 47313 61593 108633 110397 184779 309641 314669 325899 331191 554989 928923 944007 1664967 2167487 2202683 2786769 2832021 3884923 4994901 6502461 6608049 11654769 15172409 15418781 19507383 19824147 27194461 34964307 45517227 46256343 81583383 136551681 138769029 232540391 244750149 697621173 1627782737 2092863519 4883348211 11394479159 14650044633 34183437477 102550312431