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22113210132 = 22321347250449
BaseRepresentation
bin10100100110000011…
…001100111100010100
32010002002220110120200
4110212003030330110
5330241440211012
614054134500500
71411662120246
oct244603147424
963062813520
1022113210132
119418370082
124351804730
13211543c530
1410dac10096
158965423dc
hex5260ccf14

22113210132 has 36 divisors (see below), whose sum is σ = 60197073300. Its totient is φ = 6804064512.

The previous prime is 22113210131. The next prime is 22113210157. The reversal of 22113210132 is 23101231122.

22113210132 is a `hidden beast` number, since 2 + 211 + 321 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6726296196 + 15386913936 = 82014^2 + 124044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113210131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23624757 + ... + 23625692.

It is an arithmetic number, because the mean of its divisors is an integer number (1672140925).

Almost surely, 222113210132 is an apocalyptic number.

It is an amenable number.

22113210132 is an abundant number, since it is smaller than the sum of its proper divisors (38083863168).

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

22113210132 is a wasteful number, since it uses less digits than its factorization.

22113210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47250472 (or 47250467 counting only the distinct ones).

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

Adding to 22113210132 its reverse (23101231122), we get a palindrome (45214441254).

The spelling of 22113210132 in words is "twenty-two billion, one hundred thirteen million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 47250449 94500898 141751347 189001796 283502694 425254041 567005388 614255837 850508082 1228511674 1701016164 1842767511 2457023348 3685535022 5528302533 7371070044 11056605066 22113210132