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10200122131 is a prime number
BaseRepresentation
bin10010111111111100…
…11000001100010011
3222022212022220002011
421133332120030103
5131342212402011
64404052003351
7510524415253
oct113776301423
928285286064
1010200122131
114364780801
121b88000557
13c672b8234
146ca977963
153ea73d621
hex25ff98313

10200122131 has 2 divisors, whose sum is σ = 10200122132. Its totient is φ = 10200122130.

The previous prime is 10200122113. The next prime is 10200122189. The reversal of 10200122131 is 13122100201.

Together with previous prime (10200122113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10200122131 - 27 = 10200122003 is a prime.

It is a super-2 number, since 2×102001221312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10200122531) 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, 5100061065 + 5100061066.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061066).

Almost surely, 210200122131 is an apocalyptic number.

10200122131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122131 is an equidigital number, since it uses as much as digits as its factorization.

10200122131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10200122131 its reverse (13122100201), we get a palindrome (23322222332).

The spelling of 10200122131 in words is "ten billion, two hundred million, one hundred twenty-two thousand, one hundred thirty-one".