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122201112149 is a prime number
BaseRepresentation
bin111000111001111000…
…0001111111001010101
3102200102101221200201122
41301303300033321111
54000231441042044
6132045521533325
711554154212664
oct1616360177125
9380371850648
10122201112149
1147909384276
121b824aa4245
13b6a6217cac
145cb37d2ddb
1532a3341dee
hex1c73c0fe55

122201112149 has 2 divisors, whose sum is σ = 122201112150. Its totient is φ = 122201112148.

The previous prime is 122201112119. The next prime is 122201112151. The reversal of 122201112149 is 941211102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113354769124 + 8846343025 = 336682^2 + 94055^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201112149 - 212 = 122201108053 is a prime.

It is a super-2 number, since 2×1222011121492 (a number of 23 digits) contains 22 as substring.

Together with 122201112151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201112119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100556074 + 61100556075.

It is an arithmetic number, because the mean of its divisors is an integer number (61100556075).

Almost surely, 2122201112149 is an apocalyptic number.

It is an amenable number.

122201112149 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201112149 is an equidigital number, since it uses as much as digits as its factorization.

122201112149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 122201112149 in words is "one hundred twenty-two billion, two hundred one million, one hundred twelve thousand, one hundred forty-nine".