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13220112977 is a prime number
BaseRepresentation
bin11000100111111101…
…01110101001010001
31021010022222022200222
430103332232221101
5204033322103402
610023452522425
7645415051301
oct142376565121
937108868628
1013220112977
115674455605
12268b480415
131328b7b976
148d5aa5601
155259307a2
hex313faea51

13220112977 has 2 divisors, whose sum is σ = 13220112978. Its totient is φ = 13220112976.

The previous prime is 13220112959. The next prime is 13220112991. The reversal of 13220112977 is 77921102231.

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., 13014018241 + 206094736 = 114079^2 + 14356^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220112977 - 210 = 13220111953 is a prime.

It is not a weakly prime, because it can be changed into another prime (13220112077) 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, 6610056488 + 6610056489.

It is an arithmetic number, because the mean of its divisors is an integer number (6610056489).

Almost surely, 213220112977 is an apocalyptic number.

It is an amenable number.

13220112977 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220112977 is an equidigital number, since it uses as much as digits as its factorization.

13220112977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 13220112977 in words is "thirteen billion, two hundred twenty million, one hundred twelve thousand, nine hundred seventy-seven".