Search a number
-
+
122440132973 is a prime number
BaseRepresentation
bin111001000001000000…
…0000010100101101101
3102201001001201012122202
41302002000002211231
54001224133223343
6132125340551245
711563115646464
oct1620200024555
9381031635582
10122440132973
1147a21299144
121b890b52525
13b7138b5232
145cd74519db
1532b9307db8
hex1c8200296d

122440132973 has 2 divisors, whose sum is σ = 122440132974. Its totient is φ = 122440132972.

The previous prime is 122440132967. The next prime is 122440133003. The reversal of 122440132973 is 379231044221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115772104009 + 6668028964 = 340253^2 + 81658^2 .

It is a cyclic number.

It is not a de Polignac number, because 122440132973 - 224 = 122423355757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122440432973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61220066486 + 61220066487.

It is an arithmetic number, because the mean of its divisors is an integer number (61220066487).

Almost surely, 2122440132973 is an apocalyptic number.

It is an amenable number.

122440132973 is a deficient number, since it is larger than the sum of its proper divisors (1).

122440132973 is an equidigital number, since it uses as much as digits as its factorization.

122440132973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 122440132973 in words is "one hundred twenty-two billion, four hundred forty million, one hundred thirty-two thousand, nine hundred seventy-three".