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100222122131 is a prime number
BaseRepresentation
bin101110101010110110…
…1000011100010010011
3100120200122121022112022
41131111231003202103
53120223330402011
6114012535522055
710145411660615
oct1352555034223
9316618538468
10100222122131
113955a85880a
121751022932b
1395b2841061
144bca760db5
1529189b38db
hex1755b43893

100222122131 has 2 divisors, whose sum is σ = 100222122132. Its totient is φ = 100222122130.

The previous prime is 100222122109. The next prime is 100222122181. The reversal of 100222122131 is 131221222001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100222122131 - 222 = 100217927827 is a prime.

It is a super-2 number, since 2×1002221221312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100222122181) 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, 50111061065 + 50111061066.

It is an arithmetic number, because the mean of its divisors is an integer number (50111061066).

Almost surely, 2100222122131 is an apocalyptic number.

100222122131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222122131 is an equidigital number, since it uses as much as digits as its factorization.

100222122131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100222122131 its reverse (131221222001), we get a palindrome (231443344132).

The spelling of 100222122131 in words is "one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-one".