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122211000110131 is a prime number
BaseRepresentation
bin11011110010011001110111…
…001111111100110000110011
3121000201020221201120001201021
4123302121313033330300303
5112004301112012011011
61111530543002320311
734512311340061162
oct3362316717746063
9530636851501637
10122211000110131
1135a384375897a9
12118593887b9097
1353265a8c459ca
1422270888dd3d9
15e1dec6669471
hex6f26773fcc33

122211000110131 has 2 divisors, whose sum is σ = 122211000110132. Its totient is φ = 122211000110130.

The previous prime is 122211000110099. The next prime is 122211000110141. The reversal of 122211000110131 is 131011000112221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122211000110131 - 25 = 122211000110099 is a prime.

It is a super-2 number, since 2×1222110001101312 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122211000110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105500055065 + 61105500055066.

It is an arithmetic number, because the mean of its divisors is an integer number (61105500055066).

Almost surely, 2122211000110131 is an apocalyptic number.

122211000110131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211000110131 is an equidigital number, since it uses as much as digits as its factorization.

122211000110131 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 16.

Adding to 122211000110131 its reverse (131011000112221), we get a palindrome (253222000222352).

The spelling of 122211000110131 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred ten thousand, one hundred thirty-one".