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122553557377 is a prime number
BaseRepresentation
bin111001000100011000…
…0101110000110000001
3102201022222010202200121
41302020300232012001
54001442202314002
6132144512020241
711565664023046
oct1621060560601
9381288122617
10122553557377
1147a7a319619
121b902b31681
13b731249174
145d085391cd
1532c4260237
hex1c88c2e181

122553557377 has 2 divisors, whose sum is σ = 122553557378. Its totient is φ = 122553557376.

The previous prime is 122553557353. The next prime is 122553557383. The reversal of 122553557377 is 773755355221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111585393936 + 10968163441 = 334044^2 + 104729^2 .

It is an emirp because it is prime and its reverse (773755355221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122553557377 - 223 = 122545168769 is a prime.

It is a super-2 number, since 2×1225535573772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122553557327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61276778688 + 61276778689.

It is an arithmetic number, because the mean of its divisors is an integer number (61276778689).

Almost surely, 2122553557377 is an apocalyptic number.

It is an amenable number.

122553557377 is a deficient number, since it is larger than the sum of its proper divisors (1).

122553557377 is an equidigital number, since it uses as much as digits as its factorization.

122553557377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7717500, while the sum is 52.

The spelling of 122553557377 in words is "one hundred twenty-two billion, five hundred fifty-three million, five hundred fifty-seven thousand, three hundred seventy-seven".