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132120424021231 = 9722733317180097
BaseRepresentation
bin11110000010100110101110…
…111100001111110011101111
3122022210120220111220021000101
4132002212232330033303233
5114304130112022134411
61144555141311411531
736554246162411452
oct3602465674176357
9568716814807011
10132120424021231
1139108a58a955a8
12129999a6823ba7
135894b96b05a49
14248a93c40d499
151041b4e8878c1
hex7829aef0fcef

132120424021231 has 16 divisors (see below), whose sum is σ = 134075287384416. Its totient is φ = 130177699577856.

The previous prime is 132120424021213. The next prime is 132120424021291.

132120424021231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132120424021231 - 211 = 132120424019183 is a prime.

It is a super-2 number, since 2×1321204240212312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132120424021231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120424021291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733516975 + ... + 733697071.

It is an arithmetic number, because the mean of its divisors is an integer number (8379705461526).

Almost surely, 2132120424021231 is an apocalyptic number.

132120424021231 is a deficient number, since it is larger than the sum of its proper divisors (1954863363185).

132120424021231 is a wasteful number, since it uses less digits than its factorization.

132120424021231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213738.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 132120424021231 in words is "one hundred thirty-two trillion, one hundred twenty billion, four hundred twenty-four million, twenty-one thousand, two hundred thirty-one".

Divisors: 1 97 227 22019 33317 180097 3231749 7562959 17469409 40882019 733607023 3965555843 6000291749 582028299653 1362066227023 132120424021231