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122077013329 is a prime number
BaseRepresentation
bin111000110110001011…
…0110110010101010001
3102200002202102211011001
41301230112312111101
54000003203411304
6132025330022001
711551116330565
oct1615426662521
9380082384131
10122077013329
1147855322a67
121b7ab417901
13b6865b753b
145ca112b6a5
1532974cbda4
hex1c6c5b6551

122077013329 has 2 divisors, whose sum is σ = 122077013330. Its totient is φ = 122077013328.

The previous prime is 122077013327. The next prime is 122077013389. The reversal of 122077013329 is 923310770221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71599056400 + 50477956929 = 267580^2 + 224673^2 .

It is a cyclic number.

It is not a de Polignac number, because 122077013329 - 21 = 122077013327 is a prime.

Together with 122077013327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122077013321) 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, 61038506664 + 61038506665.

It is an arithmetic number, because the mean of its divisors is an integer number (61038506665).

Almost surely, 2122077013329 is an apocalyptic number.

It is an amenable number.

122077013329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122077013329 is an equidigital number, since it uses as much as digits as its factorization.

122077013329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 122077013329 in words is "one hundred twenty-two billion, seventy-seven million, thirteen thousand, three hundred twenty-nine".