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102312112133 = 7111927946591
BaseRepresentation
bin101111101001001000…
…1101111000000000101
3100210002022021210211102
41133102101233000011
53134013400042013
6115000155345445
710251250414130
oct1372221570005
9323068253742
10102312112133
113a43257a180
12179b4152285
13985683592a
144d48163217
1529dc1eed58
hex17d246f005

102312112133 has 48 divisors (see below), whose sum is σ = 136331919360. Its totient is φ = 74570090400.

The previous prime is 102312112121. The next prime is 102312112141. The reversal of 102312112133 is 331211213201.

It is a happy number.

It is not a de Polignac number, because 102312112133 - 26 = 102312112069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312112733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2172668 + ... + 2219258.

It is an arithmetic number, because the mean of its divisors is an integer number (2840248320).

Almost surely, 2102312112133 is an apocalyptic number.

It is an amenable number.

102312112133 is a deficient number, since it is larger than the sum of its proper divisors (34019807227).

102312112133 is a wasteful number, since it uses less digits than its factorization.

102312112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46726 (or 46707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102312112133 its reverse (331211213201), we get a palindrome (433523325334).

The spelling of 102312112133 in words is "one hundred two billion, three hundred twelve million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 7 11 19 77 79 133 209 361 553 869 1463 1501 2527 3971 6083 10507 16511 27797 28519 46591 115577 199633 313709 326137 512501 885229 2195963 3587507 3680689 6196603 9737519 16819351 25764823 40487579 68162633 69933091 117735457 185012861 283413053 489531637 769264001 1295090027 1328728729 5384848007 9301101103 14616016019 102312112133