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113431122112 = 2671161377339
BaseRepresentation
bin110100110100100000…
…1011001000011000000
3101211210012200001001211
41221221001121003000
53324301331401422
6124035354335504
711123633425630
oct1515101310300
9354705601054
10113431122112
1144118a02a20
1219b97a2a594
13a9092cb689
1456c0b726c0
152e3d44b577
hex1a690590c0

113431122112 has 112 divisors (see below), whose sum is σ = 285232815360. Its totient is φ = 43469337600.

The previous prime is 113431122089. The next prime is 113431122239. The reversal of 113431122112 is 211221134311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111939 + ... + 489277.

Almost surely, 2113431122112 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 113431122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142616407680).

113431122112 is an abundant number, since it is smaller than the sum of its proper divisors (171801693248).

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

113431122112 is a wasteful number, since it uses less digits than its factorization.

113431122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377430 (or 377420 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

Adding to 113431122112 its reverse (211221134311), we get a palindrome (324652256423).

The spelling of 113431122112 in words is "one hundred thirteen billion, four hundred thirty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 154 176 224 244 308 352 427 448 488 616 671 704 854 976 1232 1342 1708 1952 2464 2684 3416 3904 4697 4928 5368 6832 9394 10736 13664 18788 21472 27328 37576 42944 75152 150304 300608 377339 754678 1509356 2641373 3018712 4150729 5282746 6037424 8301458 10565492 12074848 16602916 21130984 23017679 24149696 29055103 33205832 42261968 46035358 58110206 66411664 84523936 92070716 116220412 132823328 161123753 169047872 184141432 232440824 253194469 265646656 322247506 368282864 464881648 506388938 644495012 736565728 929763296 1012777876 1288990024 1473131456 1772361283 1859526592 2025555752 2577980048 3544722566 4051111504 5155960096 7089445132 8102223008 10311920192 14178890264 16204446016 28357780528 56715561056 113431122112