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112110332022 = 232132941402947
BaseRepresentation
bin110100001101001001…
…0111110100001110110
3101201101011100221200100
41220122102332201312
53314100221111042
6123300333254530
711046125045643
oct1503222764166
9351334327610
10112110332022
11436003a5867
1219889634446
13a758794790
1455d759cdca
152db250124c
hex1a1a4be876

112110332022 has 96 divisors (see below), whose sum is σ = 277212106080. Its totient is φ = 32493565440.

The previous prime is 112110332017. The next prime is 112110332023. The reversal of 112110332022 is 220233011211.

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 = 112110331986 and 112110332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112110332023) 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 47 ways as a sum of consecutive naturals, for example, 76753 + ... + 479699.

It is an arithmetic number, because the mean of its divisors is an integer number (2887626105).

Almost surely, 2112110332022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110332022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138606053040).

112110332022 is an abundant number, since it is smaller than the sum of its proper divisors (165101774058).

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

112110332022 is a wasteful number, since it uses less digits than its factorization.

112110332022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403038 (or 403035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112110332022 its reverse (220233011211), we get a palindrome (332343343233).

The spelling of 112110332022 in words is "one hundred twelve billion, one hundred ten million, three hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 41 58 78 82 87 117 123 174 234 246 261 369 377 522 533 738 754 1066 1131 1189 1599 2262 2378 3198 3393 3567 4797 6786 7134 9594 10701 15457 21402 30914 46371 92742 139113 278226 402947 805894 1208841 2417682 3626523 5238311 7253046 10476622 11685463 15714933 16520827 23370926 31429866 33041654 35056389 47144799 49562481 70112778 94289598 99124962 105169167 148687443 151911019 210338334 214770751 297374886 303822038 429541502 455733057 479103983 644312253 911466114 958207966 1288624506 1367199171 1437311949 1932936759 2734398342 2874623898 3865873518 4311935847 6228351779 8623871694 12456703558 18685055337 37370110674 56055166011 112110332022