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113132210022 = 2321319322910939
BaseRepresentation
bin110100101011100110…
…1001000011101100110
3101211000101012201202200
41221113031020131212
53323143321210042
6123545555515330
711113343630046
oct1512715103546
9354011181680
10113132210022
1143a85201937
1219b138b8b46
13a88c3c1b10
1456931a3726
152e220a4c4c
hex1a57348766

113132210022 has 96 divisors (see below), whose sum is σ = 266525968800. Its totient is φ = 34475175936.

The previous prime is 113132210021. The next prime is 113132210057. The reversal of 113132210022 is 220012231311.

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 = 113132209977 and 113132210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113132210021) 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, 10336629 + ... + 10347567.

It is an arithmetic number, because the mean of its divisors is an integer number (2776312175).

Almost surely, 2113132210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133262984400).

113132210022 is an abundant number, since it is smaller than the sum of its proper divisors (153393758778).

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

113132210022 is a wasteful number, since it uses less digits than its factorization.

113132210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11379 counting only the distinct ones).

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

Adding to 113132210022 its reverse (220012231311), we get a palindrome (333144441333).

The spelling of 113132210022 in words is "one hundred thirteen billion, one hundred thirty-two million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 229 234 386 458 579 687 1158 1374 1737 2061 2509 2977 3474 4122 5018 5954 7527 8931 10939 15054 17862 21878 22581 26793 32817 44197 45162 53586 65634 88394 98451 132591 142207 196902 265182 284414 397773 426621 574561 795546 853242 1149122 1279863 1723683 2111227 2505031 2559726 3447366 4222454 5010062 5171049 6333681 7515093 10342098 12667362 15030186 19001043 22545279 27445951 32565403 38002086 45090558 54891902 65130806 82337853 97696209 164675706 195392418 247013559 293088627 483470983 494027118 586177254 966941966 1450412949 2900825898 4351238847 6285122779 8702477694 12570245558 18855368337 37710736674 56566105011 113132210022