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112524521031 = 3313733437357
BaseRepresentation
bin110100011001011111…
…0111110111001000111
3101202110000201221012000
41220302332332321013
53320422234133111
6123405411000343
711062314435036
oct1506276767107
9352400657160
10112524521031
11437a318212a
12199842990b3
13a7c3533530
1456365b871d
152dd8a68c56
hex1a32fbee47

112524521031 has 32 divisors (see below), whose sum is σ = 179771632320. Its totient is φ = 69151231872.

The previous prime is 112524521003. The next prime is 112524521093. The reversal of 112524521031 is 130125425211.

It is a happy number.

112524521031 is a `hidden beast` number, since 112 + 5 + 24 + 521 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 112524521031 - 217 = 112524389959 is a prime.

It is a super-2 number, since 2×1125245210312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112524520986 and 112524521004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112524561031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38605 + ... + 475961.

It is an arithmetic number, because the mean of its divisors is an integer number (5617863510).

Almost surely, 2112524521031 is an apocalyptic number.

112524521031 is a deficient number, since it is larger than the sum of its proper divisors (67247111289).

112524521031 is a wasteful number, since it uses less digits than its factorization.

112524521031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438112 (or 438106 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 112524521031 its reverse (130125425211), we get a palindrome (242649946242).

The spelling of 112524521031 in words is "one hundred twelve billion, five hundred twenty-four million, five hundred twenty-one thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 351 733 2199 6597 9529 19791 28587 85761 257283 437357 1312071 3936213 5685641 11808639 17056923 51170769 153512307 320582681 961748043 2885244129 4167574853 8655732387 12502724559 37508173677 112524521031