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213148086209 is a prime number
BaseRepresentation
bin1100011010000010011…
…1011010111111000001
3202101011122201200001022
43012200213122333001
511443011402224314
6241530251115225
721254002560602
oct3064047327701
9671148650038
10213148086209
11824395a0a53
1235386a42b15
131713b29c946
14a460397da9
1558278c878e
hex31a09dafc1

213148086209 has 2 divisors, whose sum is σ = 213148086210. Its totient is φ = 213148086208.

The previous prime is 213148086187. The next prime is 213148086253. The reversal of 213148086209 is 902680841312.

It is a happy number.

213148086209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (213148086253) can be obtained adding 213148086209 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202885383184 + 10262703025 = 450428^2 + 101305^2 .

It is a cyclic number.

It is not a de Polignac number, because 213148086209 - 220 = 213147037633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213148086209.

It is not a weakly prime, because it can be changed into another prime (213148086259) 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, 106574043104 + 106574043105.

It is an arithmetic number, because the mean of its divisors is an integer number (106574043105).

Almost surely, 2213148086209 is an apocalyptic number.

It is an amenable number.

213148086209 is a deficient number, since it is larger than the sum of its proper divisors (1).

213148086209 is an equidigital number, since it uses as much as digits as its factorization.

213148086209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 213148086209 in words is "two hundred thirteen billion, one hundred forty-eight million, eighty-six thousand, two hundred nine".