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210124222013 is a prime number
BaseRepresentation
bin1100001110110001100…
…0010010111000111101
3202002100220210110012002
43003230120102320331
511420313300101023
6240310231152045
721116034263156
oct3035430227075
9662326713162
10210124222013
1181127711032
1234882215625
1316a789811a4
14a25493c92d
1556ec1bdb28
hex30ec612e3d

210124222013 has 2 divisors, whose sum is σ = 210124222014. Its totient is φ = 210124222012.

The previous prime is 210124221949. The next prime is 210124222031. The reversal of 210124222013 is 310222421012.

210124222013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (210124222031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197048985604 + 13075236409 = 443902^2 + 114347^2 .

It is a cyclic number.

It is not a de Polignac number, because 210124222013 - 26 = 210124221949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210124222093) 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, 105062111006 + 105062111007.

It is an arithmetic number, because the mean of its divisors is an integer number (105062111007).

Almost surely, 2210124222013 is an apocalyptic number.

It is an amenable number.

210124222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210124222013 is an equidigital number, since it uses as much as digits as its factorization.

210124222013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 210124222013 its reverse (310222421012), we get a palindrome (520346643025).

The spelling of 210124222013 in words is "two hundred ten billion, one hundred twenty-four million, two hundred twenty-two thousand, thirteen".