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113011222122 = 2321071491971999
BaseRepresentation
bin110100100111111111…
…1100110011001101010
3101210200221112220120100
41221033333212121222
53322421333101442
6123525554410230
711110344352461
oct1511777463152
9353627486510
10113011222122
1143a22985937
1219a9b290976
13a870310346
1456810ab9d8
152e1665684c
hex1a4ffe666a

113011222122 has 96 divisors (see below), whose sum is σ = 250192800000. Its totient is φ = 36861277824.

The previous prime is 113011222073. The next prime is 113011222123. The reversal of 113011222122 is 221222110311.

113011222122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 113011222095 and 113011222104.

It is not an unprimeable number, because it can be changed into a prime (113011222123) 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 47 ways as a sum of consecutive naturals, for example, 56532879 + ... + 56534877.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175000).

Almost surely, 2113011222122 is an apocalyptic number.

113011222122 is an abundant number, since it is smaller than the sum of its proper divisors (137181577878).

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

113011222122 is a wasteful number, since it uses less digits than its factorization.

113011222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113011222122 its reverse (221222110311), we get a palindrome (334233332433).

The spelling of 113011222122 in words is "one hundred thirteen billion, eleven million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 107 149 197 214 298 321 394 447 591 642 894 963 1182 1341 1773 1926 1999 2682 3546 3998 5997 11994 15943 17991 21079 29353 31886 35982 42158 47829 58706 63237 88059 95658 126474 143487 176118 189711 213893 264177 286974 297851 379422 393803 427786 528354 595702 641679 787606 893553 1181409 1283358 1787106 1925037 2362818 2680659 3140771 3544227 3850074 5361318 6281542 7088454 9422313 18844626 28266939 31870057 42136921 56533878 58676647 63740114 84273842 95610171 117353294 126410763 176029941 191220342 252821526 286830513 352059882 379232289 528089823 573661026 758464578 1056179646 6278401229 12556802458 18835203687 37670407374 56505611061 113011222122