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132120212212993 is a prime number
BaseRepresentation
bin11110000010100110100010…
…010100010000110100000001
3122022210120100202100021201211
4132002212202110100310001
5114304124143311303433
61144555104303530121
736554241011153644
oct3602464224206401
9568716322307654
10132120212212993
113910895a477974
12129999478b9941
135894b61c75b24
14248a91c235a5b
151041b3ae998cd
hex7829a2510d01

132120212212993 has 2 divisors, whose sum is σ = 132120212212994. Its totient is φ = 132120212212992.

The previous prime is 132120212212991. The next prime is 132120212213023. The reversal of 132120212212993 is 399212212021231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115548245939569 + 16571966273424 = 10749337^2 + 4070868^2 .

It is a cyclic number.

It is not a de Polignac number, because 132120212212993 - 21 = 132120212212991 is a prime.

Together with 132120212212991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (132120212212991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66060106106496 + 66060106106497.

It is an arithmetic number, because the mean of its divisors is an integer number (66060106106497).

Almost surely, 2132120212212993 is an apocalyptic number.

It is an amenable number.

132120212212993 is a deficient number, since it is larger than the sum of its proper divisors (1).

132120212212993 is an equidigital number, since it uses as much as digits as its factorization.

132120212212993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 132120212212993 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred twelve thousand, nine hundred ninety-three".