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122557422301 is a prime number
BaseRepresentation
bin111001000100011111…
…1011101101011011101
3102201100020102010100221
41302020333131223131
54001444200003201
6132145130521341
711566041621046
oct1621077355335
9381306363327
10122557422301
1147a81519376
121b904296251
13b731ca03c2
145d08c638cd
1532c47754a1
hex1c88fddadd

122557422301 has 2 divisors, whose sum is σ = 122557422302. Its totient is φ = 122557422300.

The previous prime is 122557422259. The next prime is 122557422307. The reversal of 122557422301 is 103224755221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96490996900 + 26066425401 = 310630^2 + 161451^2 .

It is a cyclic number.

It is not a de Polignac number, because 122557422301 - 217 = 122557291229 is a prime.

It is a super-2 number, since 2×1225574223012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122557422307) 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, 61278711150 + 61278711151.

It is an arithmetic number, because the mean of its divisors is an integer number (61278711151).

Almost surely, 2122557422301 is an apocalyptic number.

It is an amenable number.

122557422301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122557422301 is an equidigital number, since it uses as much as digits as its factorization.

122557422301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 122557422301 in words is "one hundred twenty-two billion, five hundred fifty-seven million, four hundred twenty-two thousand, three hundred one".