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10100000092 = 22713611972309
BaseRepresentation
bin10010110100000000…
…11100010101011100
3222001212221011110111
421122000130111130
5131141100000332
64350114015404
7505200404260
oct113200342534
928055834414
1010100000092
114313206616
121b5a577564
13c4c631020
146bb5540a0
153e1a62947
hex25a01c55c

10100000092 has 96 divisors (see below), whose sum is σ = 22232327040. Its totient is φ = 3908459520.

The previous prime is 10100000087. The next prime is 10100000111. The reversal of 10100000092 is 29000000101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373034 + ... + 4375342.

It is an arithmetic number, because the mean of its divisors is an integer number (231586740).

Almost surely, 210100000092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100000092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11116163520).

10100000092 is an abundant number, since it is smaller than the sum of its proper divisors (12132326948).

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

10100000092 is a wasteful number, since it uses less digits than its factorization.

10100000092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10100000092 its reverse (29000000101), we get a palindrome (39100000193).

The spelling of 10100000092 in words is "ten billion, one hundred million, ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 197 244 364 394 427 788 793 854 1379 1586 1708 2309 2561 2758 3172 4618 5122 5516 5551 9236 10244 11102 12017 16163 17927 22204 24034 30017 32326 35854 48068 60034 64652 71708 84119 120068 140849 156221 168238 210119 281698 312442 336476 420238 454873 563396 624884 840476 909746 985943 1093547 1819492 1831037 1971886 2187094 3184111 3662074 3943772 4374188 5913349 6368222 7324148 11826698 12736444 12817259 23653396 25634518 27747253 41393443 51269036 55494506 82786886 110989012 165573772 194230771 360714289 388461542 721428578 776923084 1442857156 2525000023 5050000046 10100000092