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214214000153 is a prime number
BaseRepresentation
bin1100011110000000100…
…1100011111000011001
3202110220221102201002112
43013200021203320121
512002202241001103
6242224125242105
721322264646456
oct3074011437031
9673827381075
10214214000153
118293624496a
1235623a03335
131727b07785a
14a521b8282d
15588b279cd8
hex31e0263e19

214214000153 has 2 divisors, whose sum is σ = 214214000154. Its totient is φ = 214214000152.

The previous prime is 214214000141. The next prime is 214214000179. The reversal of 214214000153 is 351000412412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171717414544 + 42496585609 = 414388^2 + 206147^2 .

It is a cyclic number.

It is not a de Polignac number, because 214214000153 - 26 = 214214000089 is a prime.

It is not a weakly prime, because it can be changed into another prime (214214000183) 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, 107107000076 + 107107000077.

It is an arithmetic number, because the mean of its divisors is an integer number (107107000077).

Almost surely, 2214214000153 is an apocalyptic number.

It is an amenable number.

214214000153 is a deficient number, since it is larger than the sum of its proper divisors (1).

214214000153 is an equidigital number, since it uses as much as digits as its factorization.

214214000153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 214214000153 its reverse (351000412412), we get a palindrome (565214412565).

The spelling of 214214000153 in words is "two hundred fourteen billion, two hundred fourteen million, one hundred fifty-three", and thus it is an aban number.