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202211102057 is a prime number
BaseRepresentation
bin1011110001010010111…
…0001000110101101001
3201022221102212022022012
42330110232020311221
511303112020231212
6232521113405305
720415660002456
oct2742456106551
9638842768265
10202211102057
1178836993978
1233234109835
13160b7439ba3
149b03a0c82d
1553d7635922
hex2f14b88d69

202211102057 has 2 divisors, whose sum is σ = 202211102058. Its totient is φ = 202211102056.

The previous prime is 202211101987. The next prime is 202211102113. The reversal of 202211102057 is 750201112202.

202211102057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201950473321 + 260628736 = 449389^2 + 16144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202211102057 is a prime.

It is not a weakly prime, because it can be changed into another prime (202211102857) 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, 101105551028 + 101105551029.

It is an arithmetic number, because the mean of its divisors is an integer number (101105551029).

Almost surely, 2202211102057 is an apocalyptic number.

It is an amenable number.

202211102057 is a deficient number, since it is larger than the sum of its proper divisors (1).

202211102057 is an equidigital number, since it uses as much as digits as its factorization.

202211102057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 202211102057 its reverse (750201112202), we get a palindrome (952412214259).

The spelling of 202211102057 in words is "two hundred two billion, two hundred eleven million, one hundred two thousand, fifty-seven".