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113122012311 = 32711417354539
BaseRepresentation
bin110100101011010011…
…0001110110010010111
3101210222200000122010200
41221112212032302113
53323133213343221
6123544553151543
711113161145110
oct1512646166227
9353880018120
10113122012311
1143a7a477180
1219b103bb5b3
13a88a261279
145691aab207
152e2123d426
hex1a5698ec97

113122012311 has 96 divisors (see below), whose sum is σ = 211548879360. Its totient is φ = 56544998400.

The previous prime is 113122012207. The next prime is 113122012319. The reversal of 113122012311 is 113210221311.

113122012311 is a `hidden beast` number, since 1 + 131 + 220 + 1 + 2 + 311 = 666.

It is not a de Polignac number, because 113122012311 - 29 = 113122011799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113122012319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2046880 + ... + 2101418.

It is an arithmetic number, because the mean of its divisors is an integer number (2203634160).

Almost surely, 2113122012311 is an apocalyptic number.

113122012311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113122012311 is a deficient number, since it is larger than the sum of its proper divisors (98426867049).

113122012311 is a wasteful number, since it uses less digits than its factorization.

113122012311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54677 (or 54674 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113122012311 its reverse (113210221311), we get a palindrome (226332233622).

The spelling of 113122012311 in words is "one hundred thirteen billion, one hundred twenty-two million, twelve thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 41 63 73 77 99 123 219 231 287 369 451 511 657 693 803 861 1353 1533 2409 2583 2993 3157 4059 4599 5621 7227 8979 9471 16863 20951 26937 28413 32923 50589 54539 62853 98769 163617 188559 230461 296307 381773 490851 599929 691383 1145319 1799787 2074149 2236099 3435957 3981347 4199503 5399361 6708297 11944041 12598509 15652693 20124891 24597089 27869429 35832123 37795527 43794817 46958079 73791267 83608287 131384451 140874237 163235227 172179623 221373801 250824861 306563719 394153353 489705681 516538869 919691157 1142646589 1469117043 1549616607 1795587497 2759073471 3427939767 5386762491 10283819301 12569112479 16160287473 37707337437 113122012311