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210122110013 is a prime number
BaseRepresentation
bin1100001110110001000…
…0001111010000111101
3202002100202211011001212
43003230100033100331
511420312230010023
6240310114014205
721116010315554
oct3035420172075
9662322734055
10210122110013
11811264a9282
1234881577365
1316a783c1a9a
14a25454cd9b
1556ebe02e78
hex30ec40f43d

210122110013 has 2 divisors, whose sum is σ = 210122110014. Its totient is φ = 210122110012.

The previous prime is 210122110001. The next prime is 210122110043. The reversal of 210122110013 is 310011221012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106310558809 + 103811551204 = 326053^2 + 322198^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122110013 - 24 = 210122109997 is a prime.

It is a super-2 number, since 2×2101221100132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210122110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210122110043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105061055006 + 105061055007.

It is an arithmetic number, because the mean of its divisors is an integer number (105061055007).

Almost surely, 2210122110013 is an apocalyptic number.

It is an amenable number.

210122110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122110013 is an equidigital number, since it uses as much as digits as its factorization.

210122110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 210122110013 its reverse (310011221012), we get a palindrome (520133331025).

The spelling of 210122110013 in words is "two hundred ten billion, one hundred twenty-two million, one hundred ten thousand, thirteen".