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122547440381 is a prime number
BaseRepresentation
bin111001000100001100…
…1011000101011111101
3102201022112121222202012
41302020121120223331
54001434121043011
6132144132541005
711565561025202
oct1621031305375
9381275558665
10122547440381
1147a76920853
121b900a81765
13b72cbb6b42
145d077c5ca9
1532c3952a8b
hex1c88658afd

122547440381 has 2 divisors, whose sum is σ = 122547440382. Its totient is φ = 122547440380.

The previous prime is 122547440359. The next prime is 122547440387. The reversal of 122547440381 is 183044745221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92239764100 + 30307676281 = 303710^2 + 174091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122547440381 is a prime.

It is a super-2 number, since 2×1225474403812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122547440387) 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, 61273720190 + 61273720191.

It is an arithmetic number, because the mean of its divisors is an integer number (61273720191).

Almost surely, 2122547440381 is an apocalyptic number.

It is an amenable number.

122547440381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122547440381 is an equidigital number, since it uses as much as digits as its factorization.

122547440381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 122547440381 in words is "one hundred twenty-two billion, five hundred forty-seven million, four hundred forty thousand, three hundred eighty-one".