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213322120993 is a prime number
BaseRepresentation
bin1100011010101011111…
…1010011111100100001
3202101121210012112220001
43012222333103330201
511443340430332433
6241555425220001
721261215052622
oct3065277237441
9671553175801
10213322120993
1182518859953
1235415191601
13171683655c7
14a47953ba49
155837d0457d
hex31aafd3f21

213322120993 has 2 divisors, whose sum is σ = 213322120994. Its totient is φ = 213322120992.

The previous prime is 213322120967. The next prime is 213322121009. The reversal of 213322120993 is 399021223312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207381873664 + 5940247329 = 455392^2 + 77073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213322120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (213322120903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106661060496 + 106661060497.

It is an arithmetic number, because the mean of its divisors is an integer number (106661060497).

Almost surely, 2213322120993 is an apocalyptic number.

It is an amenable number.

213322120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

213322120993 is an equidigital number, since it uses as much as digits as its factorization.

213322120993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 213322120993 in words is "two hundred thirteen billion, three hundred twenty-two million, one hundred twenty thousand, nine hundred ninety-three".