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122241780053 is a prime number
BaseRepresentation
bin111000111011000101…
…1011000100101010101
3102200112020110211121022
41301312023120211111
54000322343430203
6132053533330525
711555156662211
oct1616613304525
9380466424538
10122241780053
114792a330708
121b836636a45
13b6b1786843
145cb8d7b941
1532a6bc6a38
hex1c762d8955

122241780053 has 2 divisors, whose sum is σ = 122241780054. Its totient is φ = 122241780052.

The previous prime is 122241779927. The next prime is 122241780077. The reversal of 122241780053 is 350087142221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104433678244 + 17808101809 = 323162^2 + 133447^2 .

It is a cyclic number.

It is not a de Polignac number, because 122241780053 - 220 = 122240731477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122241779995 and 122241780022.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122241780653) 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, 61120890026 + 61120890027.

It is an arithmetic number, because the mean of its divisors is an integer number (61120890027).

Almost surely, 2122241780053 is an apocalyptic number.

It is an amenable number.

122241780053 is a deficient number, since it is larger than the sum of its proper divisors (1).

122241780053 is an equidigital number, since it uses as much as digits as its factorization.

122241780053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 122241780053 in words is "one hundred twenty-two billion, two hundred forty-one million, seven hundred eighty thousand, fifty-three".