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113221233312 = 25311261159787
BaseRepresentation
bin110100101110010000…
…0101110101010100000
3101211020120201120202120
41221130200232222200
53323334113431222
6124002455544240
711115504414135
oct1513440565240
9354216646676
10113221233312
1144020486400
1219b3968b080
13a8a4991315
1456a0d3858c
152e29cdc15c
hex1a5c82eaa0

113221233312 has 144 divisors (see below), whose sum is σ = 332038185696. Its totient is φ = 33746803200.

The previous prime is 113221233287. The next prime is 113221233329. The reversal of 113221233312 is 213332122311.

113221233312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628683 + ... + 788469.

It is an arithmetic number, because the mean of its divisors is an integer number (2305820734).

Almost surely, 2113221233312 is an apocalyptic number.

113221233312 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 113221233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166019092848).

113221233312 is an abundant number, since it is smaller than the sum of its proper divisors (218816952384).

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

113221233312 is a wasteful number, since it uses less digits than its factorization.

113221233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159883 (or 159864 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 113221233312 its reverse (213332122311), we get a palindrome (326553355623).

The spelling of 113221233312 in words is "one hundred thirteen billion, two hundred twenty-one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 121 122 132 176 183 242 244 264 352 363 366 484 488 528 671 726 732 968 976 1056 1342 1452 1464 1936 1952 2013 2684 2904 2928 3872 4026 5368 5808 5856 7381 8052 10736 11616 14762 16104 21472 22143 29524 32208 44286 59048 64416 88572 118096 159787 177144 236192 319574 354288 479361 639148 708576 958722 1278296 1757657 1917444 2556592 3515314 3834888 5113184 5272971 7030628 7669776 9747007 10545942 14061256 15339552 19334227 19494014 21091884 28122512 29241021 38668454 38988028 42183768 56245024 58002681 58482042 77336908 77976056 84367536 107217077 116005362 116964084 154673816 155952112 168735072 214434154 232010724 233928168 309347632 311904224 321651231 428868308 464021448 467856336 618695264 643302462 857736616 928042896 935712672 1179387847 1286604924 1715473232 1856085792 2358775694 2573209848 3430946464 3538163541 4717551388 5146419696 7076327082 9435102776 10292839392 14152654164 18870205552 28305308328 37740411104 56610616656 113221233312