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220131003320149 is a prime number
BaseRepresentation
bin110010000011010100111110…
…010000011100011101010101
31001212102022121002221202100111
4302003110332100130131111
5212323111243322221044
62100102441543243021
764236640321233415
oct6203247620343525
91055368532852314
10220131003320149
1164160041630819
1220832a43749471
1395aa3592778ac
143c5057c6c0645
151a6b1a4dc3b34
hexc8353e41c755

220131003320149 has 2 divisors, whose sum is σ = 220131003320150. Its totient is φ = 220131003320148.

The previous prime is 220131003320077. The next prime is 220131003320167. The reversal of 220131003320149 is 941023300131022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215606053260900 + 4524950059249 = 14683530^2 + 2127193^2 .

It is a cyclic number.

It is not a de Polignac number, because 220131003320149 - 219 = 220131002795861 is a prime.

It is a super-2 number, since 2×2201310033201492 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220131003320149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220131003320549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110065501660074 + 110065501660075.

It is an arithmetic number, because the mean of its divisors is an integer number (110065501660075).

Almost surely, 2220131003320149 is an apocalyptic number.

It is an amenable number.

220131003320149 is a deficient number, since it is larger than the sum of its proper divisors (1).

220131003320149 is an equidigital number, since it uses as much as digits as its factorization.

220131003320149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 220131003320149 in words is "two hundred twenty trillion, one hundred thirty-one billion, three million, three hundred twenty thousand, one hundred forty-nine".