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221021012137 is a prime number
BaseRepresentation
bin1100110111010111100…
…0010000000010101001
3210010111100000202002111
43031311320100002221
512110122334342022
6245311411202321
721653051414452
oct3156570200251
9703440022074
10221021012137
1185809665802
1236a035a63a1
1317ac43accb3
14a9a9c24129
155b38b72477
hex3375e100a9

221021012137 has 2 divisors, whose sum is σ = 221021012138. Its totient is φ = 221021012136.

The previous prime is 221021012099. The next prime is 221021012143. The reversal of 221021012137 is 731210120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195345436441 + 25675575696 = 441979^2 + 160236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221021012137 is a prime.

It is not a weakly prime, because it can be changed into another prime (221021016137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510506068 + 110510506069.

It is an arithmetic number, because the mean of its divisors is an integer number (110510506069).

Almost surely, 2221021012137 is an apocalyptic number.

It is an amenable number.

221021012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021012137 is an equidigital number, since it uses as much as digits as its factorization.

221021012137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 221021012137 its reverse (731210120122), we get a palindrome (952231132259).

The spelling of 221021012137 in words is "two hundred twenty-one billion, twenty-one million, twelve thousand, one hundred thirty-seven".