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112232222531 = 111317291591969
BaseRepresentation
bin110100010000110001…
…1111100111101000011
3101201200122201122000122
41220201203330331003
53314322422110111
6123320410010455
711052135102602
oct1504143747503
9351618648018
10112232222531
1143663188a20
1219902416a2b
13a777b01040
14560984ba39
152dbd07bcdb
hex1a218fcf43

112232222531 has 32 divisors (see below), whose sum is σ = 144423518400. Its totient is φ = 85584199680.

The previous prime is 112232222519. The next prime is 112232222549. The reversal of 112232222531 is 135222232211.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112232222531 is a prime.

It is a super-2 number, since 2×1122322225312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112232222531.

It is not an unprimeable number, because it can be changed into a prime (112232222731) 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 31 ways as a sum of consecutive naturals, for example, 725486 + ... + 866483.

It is an arithmetic number, because the mean of its divisors is an integer number (4513234950).

Almost surely, 2112232222531 is an apocalyptic number.

112232222531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112232222531 is a deficient number, since it is larger than the sum of its proper divisors (32191295869).

112232222531 is a wasteful number, since it uses less digits than its factorization.

112232222531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592039.

The product of its digits is 2880, while the sum is 26.

Adding to 112232222531 its reverse (135222232211), we get a palindrome (247454454742).

The spelling of 112232222531 in words is "one hundred twelve billion, two hundred thirty-two million, two hundred twenty-two thousand, five hundred thirty-one".

Divisors: 1 11 13 17 29 143 187 221 319 377 493 2431 4147 5423 6409 70499 1591969 17511659 20695597 27063473 46167101 227651567 297698203 351825149 507838111 600172313 784840717 3870076639 6601895443 8633247887 10202929321 112232222531