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218314961057 is a prime number
BaseRepresentation
bin1100101101010010010…
…1011111000010100001
3202212111202010002212102
43023110211133002201
512034102112223212
6244143103140145
721526022356634
oct3132445370241
9685452102772
10218314961057
1184650116556
12363892a4655
131778288823b
14a7d0697c1b
155a2b2e45c2
hex32d495f0a1

218314961057 has 2 divisors, whose sum is σ = 218314961058. Its totient is φ = 218314961056.

The previous prime is 218314960937. The next prime is 218314961063. The reversal of 218314961057 is 750169413812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174263667601 + 44051293456 = 417449^2 + 209884^2 .

It is a cyclic number.

It is not a de Polignac number, because 218314961057 - 212 = 218314956961 is a prime.

It is a super-2 number, since 2×2183149610572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (218314969057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109157480528 + 109157480529.

It is an arithmetic number, because the mean of its divisors is an integer number (109157480529).

It is a 1-persistent number, because it is pandigital, but 2⋅218314961057 = 436629922114 is not.

Almost surely, 2218314961057 is an apocalyptic number.

It is an amenable number.

218314961057 is a deficient number, since it is larger than the sum of its proper divisors (1).

218314961057 is an equidigital number, since it uses as much as digits as its factorization.

218314961057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 218314961057 in words is "two hundred eighteen billion, three hundred fourteen million, nine hundred sixty-one thousand, fifty-seven".