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214214074993 is a prime number
BaseRepresentation
bin1100011110000000100…
…1110110001001110001
3202110220221120111202101
43013200021312021301
512002202300344433
6242224131020401
721322265410612
oct3074011661161
9673827514671
10214214074993
1182936296116
1235623a3a701
131727b0a2939
14a521ba1c09
15588b29207d
hex31e0276271

214214074993 has 2 divisors, whose sum is σ = 214214074994. Its totient is φ = 214214074992.

The previous prime is 214214074979. The next prime is 214214074999. The reversal of 214214074993 is 399470412412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205556144689 + 8657930304 = 453383^2 + 93048^2 .

It is a cyclic number.

It is not a de Polignac number, because 214214074993 - 217 = 214213943921 is a prime.

It is not a weakly prime, because it can be changed into another prime (214214074999) 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, 107107037496 + 107107037497.

It is an arithmetic number, because the mean of its divisors is an integer number (107107037497).

Almost surely, 2214214074993 is an apocalyptic number.

It is an amenable number.

214214074993 is a deficient number, since it is larger than the sum of its proper divisors (1).

214214074993 is an equidigital number, since it uses as much as digits as its factorization.

214214074993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 214214074993 in words is "two hundred fourteen billion, two hundred fourteen million, seventy-four thousand, nine hundred ninety-three".