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11310013092 = 22373110939847
BaseRepresentation
bin10101000100010000…
…10001101010100100
31002012012210012020210
422202020101222210
5141130330404332
65110140455420
7550162345050
oct124210215244
932165705223
1011310013092
114884231264
12223784a570
1310b321cc51
1479412cc60
15462dc9ecc
hex2a2211aa4

11310013092 has 96 divisors (see below), whose sum is σ = 31419351040. Its totient is φ = 3098424960.

The previous prime is 11310013049. The next prime is 11310013097. The reversal of 11310013092 is 29031001311.

It is a super-2 number, since 2×113100130922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11310013097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263913 + ... + 303759.

Almost surely, 211310013092 is an apocalyptic number.

11310013092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310013092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709675520).

11310013092 is an abundant number, since it is smaller than the sum of its proper divisors (20109337948).

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

11310013092 is a wasteful number, since it uses less digits than its factorization.

11310013092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40001 (or 39999 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

It can be divided in two parts, 1131001309 and 2, that added together give a palindrome (1131001311).

The spelling of 11310013092 in words is "eleven billion, three hundred ten million, thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 109 124 186 217 218 327 372 434 436 651 654 763 868 1302 1308 1526 2289 2604 3052 3379 4578 6758 9156 10137 13516 20274 23653 39847 40548 47306 70959 79694 94612 119541 141918 159388 239082 278929 283836 478164 557858 836787 1115716 1235257 1673574 2470514 3347148 3705771 4343323 4941028 7411542 8646799 8686646 13029969 14823084 17293598 17373292 25940397 26059938 30403261 34587196 51880794 52119876 60806522 91209783 103761588 121613044 134643013 182419566 269286026 364839132 403929039 538572052 807858078 942501091 1615716156 1885002182 2827503273 3770004364 5655006546 11310013092