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214213322993 is a prime number
BaseRepresentation
bin1100011110000000011…
…0111110100011110001
3202110220220011022012112
43013200012332203301
512002202102313433
6242224102535105
721322256126315
oct3074006764361
9673826138175
10214213322993
118293592212a
1235623737495
131727ab9b577
14a521a47b45
15588b194348
hex31e01be8f1

214213322993 has 2 divisors, whose sum is σ = 214213322994. Its totient is φ = 214213322992.

The previous prime is 214213322989. The next prime is 214213323031. The reversal of 214213322993 is 399223312412.

214213322993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214083886864 + 129436129 = 462692^2 + 11377^2 .

It is a cyclic number.

It is not a de Polignac number, because 214213322993 - 22 = 214213322989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214213322993.

It is not a weakly prime, because it can be changed into another prime (214213322963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107106661496 + 107106661497.

It is an arithmetic number, because the mean of its divisors is an integer number (107106661497).

Almost surely, 2214213322993 is an apocalyptic number.

It is an amenable number.

214213322993 is a deficient number, since it is larger than the sum of its proper divisors (1).

214213322993 is an equidigital number, since it uses as much as digits as its factorization.

214213322993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 41.

The spelling of 214213322993 in words is "two hundred fourteen billion, two hundred thirteen million, three hundred twenty-two thousand, nine hundred ninety-three".