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92301053013 = 34132311991093
BaseRepresentation
bin101010111110110010…
…0100100110001010101
322211020121201022110000
41111331210210301111
53003013032144023
6110222535521513
76445210001631
oct1257544446125
9284217638400
1092301053013
11361655a12a4
1215a7b529299
13891c775800
144678761dc1
1526033aa243
hex157d924c55

92301053013 has 120 divisors (see below), whose sum is σ = 155036428800. Its totient is φ = 54642107520.

The previous prime is 92301052981. The next prime is 92301053017. The reversal of 92301053013 is 31035010329.

It is a happy number.

92301053013 is a `hidden beast` number, since 92 + 30 + 1 + 0 + 530 + 13 = 666.

It is not a de Polignac number, because 92301053013 - 25 = 92301052981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92301053017) 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 119 ways as a sum of consecutive naturals, for example, 84446895 + ... + 84447987.

It is an arithmetic number, because the mean of its divisors is an integer number (1291970240).

Almost surely, 292301053013 is an apocalyptic number.

92301053013 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

92301053013 is a deficient number, since it is larger than the sum of its proper divisors (62735375787).

92301053013 is a wasteful number, since it uses less digits than its factorization.

92301053013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 92301053013 in words is "ninety-two billion, three hundred one million, fifty-three thousand, thirteen".

Divisors: 1 3 9 13 27 31 39 81 93 117 169 199 279 351 403 507 597 837 1053 1093 1209 1521 1791 2511 2587 3279 3627 4563 5239 5373 6169 7761 9837 10881 13689 14209 15717 16119 18507 23283 29511 32643 33631 33883 42627 47151 55521 69849 80197 88533 100893 101649 127881 141453 166563 184717 209547 217507 240591 302679 304947 383643 424359 440479 499689 554151 652521 721773 908037 914841 1042561 1150929 1321437 1662453 1957563 2165319 2724111 2744523 2827591 3127683 3964311 4987359 5726227 5872689 6495957 6742717 8482773 9383049 11892933 14962077 17178681 17618067 20228151 25448319 28149147 35678799 36758683 51536043 60684453 76344957 84447441 87655321 110276049 154608129 182053359 229034871 262965963 330828147 463824387 546160077 788897889 992484441 1139519173 2366693667 2977453323 3418557519 7100081001 10255672557 30767017671 92301053013