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122424434081 is a prime number
BaseRepresentation
bin111001000000100010…
…0001001110110100001
3102200222222011121211022
41302001010021312201
54001211123342311
6132124020255225
711562535343225
oct1620104116641
9380888147738
10122424434081
1147a13446354
121b887841515
13b710579751
145cd5326785
1532b7c565db
hex1c81109da1

122424434081 has 2 divisors, whose sum is σ = 122424434082. Its totient is φ = 122424434080.

The previous prime is 122424434057. The next prime is 122424434089. The reversal of 122424434081 is 180434424221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92212432225 + 30212001856 = 303665^2 + 173816^2 .

It is an emirp because it is prime and its reverse (180434424221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122424434081 - 218 = 122424171937 is a prime.

It is a super-2 number, since 2×1224244340812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122424434089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61212217040 + 61212217041.

It is an arithmetic number, because the mean of its divisors is an integer number (61212217041).

Almost surely, 2122424434081 is an apocalyptic number.

It is an amenable number.

122424434081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122424434081 is an equidigital number, since it uses as much as digits as its factorization.

122424434081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 122424434081 in words is "one hundred twenty-two billion, four hundred twenty-four million, four hundred thirty-four thousand, eighty-one".