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122277240461 is a prime number
BaseRepresentation
bin111000111100001001…
…0101001111010001101
3102200121201012102010202
41301320102221322031
54000410433143321
6132101241343245
711556100252265
oct1617022517215
9380551172122
10122277240461
1147948350632
121b846497b25
13b6b8c2102c
145cbd96c7a5
1532a9d7d70b
hex1c784a9e8d

122277240461 has 2 divisors, whose sum is σ = 122277240462. Its totient is φ = 122277240460.

The previous prime is 122277240439. The next prime is 122277240473. The reversal of 122277240461 is 164042772221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117206946025 + 5070294436 = 342355^2 + 71206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122277240461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122277270461) 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, 61138620230 + 61138620231.

It is an arithmetic number, because the mean of its divisors is an integer number (61138620231).

Almost surely, 2122277240461 is an apocalyptic number.

It is an amenable number.

122277240461 is a deficient number, since it is larger than the sum of its proper divisors (1).

122277240461 is an equidigital number, since it uses as much as digits as its factorization.

122277240461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 122277240461 in words is "one hundred twenty-two billion, two hundred seventy-seven million, two hundred forty thousand, four hundred sixty-one".