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122131103389 is a prime number
BaseRepresentation
bin111000110111110010…
…1001011111010011101
3102200020112012212202121
41301233211023322131
54000111030302024
6132034541222541
711552344151551
oct1615745137235
9380215185677
10122131103389
1147882907699
121b805561a51
13b6948754a9
145ca83ab861
15329c1138e4
hex1c6f94be9d

122131103389 has 2 divisors, whose sum is σ = 122131103390. Its totient is φ = 122131103388.

The previous prime is 122131103329. The next prime is 122131103431. The reversal of 122131103389 is 983301131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76488199225 + 45642904164 = 276565^2 + 213642^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131103389 - 217 = 122130972317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131103329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065551694 + 61065551695.

It is an arithmetic number, because the mean of its divisors is an integer number (61065551695).

Almost surely, 2122131103389 is an apocalyptic number.

It is an amenable number.

122131103389 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131103389 is an equidigital number, since it uses as much as digits as its factorization.

122131103389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 122131103389 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred three thousand, three hundred eighty-nine".