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132022321022112 = 2532514915468317
BaseRepresentation
bin11110000001001011010111…
…100011000000010010100000
3122022110012200112210112202120
4132001023113203000102200
5114301023203140201422
61144442114511544240
736544204121601663
oct3601132743002240
9568405615715676
10132022321022112
1139080396447324
121298298822b080
135888861319a41
142485cb32b56da
15103e30be6745c
hex7812d78c04a0

132022321022112 has 48 divisors (see below), whose sum is σ = 346560034074912. Its totient is φ = 44007257306880.

The previous prime is 132022321022077. The next prime is 132022321022153. The reversal of 132022321022112 is 211220123220231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1320223210221122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21408978 + ... + 26877294.

It is an arithmetic number, because the mean of its divisors is an integer number (7220000709894).

Almost surely, 2132022321022112 is an apocalyptic number.

132022321022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132022321022112 is an abundant number, since it is smaller than the sum of its proper divisors (214537713052800).

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

132022321022112 is a wasteful number, since it uses less digits than its factorization.

132022321022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719821 (or 5719813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132022321022112 its reverse (211220123220231), we get a palindrome (343242444242343).

The spelling of 132022321022112 in words is "one hundred thirty-two trillion, twenty-two billion, three hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251491 502982 754473 1005964 1508946 2011928 3017892 4023856 5468317 6035784 8047712 10936634 12071568 16404951 21873268 24143136 32809902 43746536 65619804 87493072 131239608 174986144 262479216 524958432 1375232510647 2750465021294 4125697531941 5500930042588 8251395063882 11001860085176 16502790127764 22003720170352 33005580255528 44007440340704 66011160511056 132022321022112