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122162041513 is a prime number
BaseRepresentation
bin111000111000101101…
…1001101001010101001
3102200022200102200220001
41301301123031022221
54000141440312023
6132042004303001
711553201135301
oct1616133151251
9380280380801
10122162041513
1147899318996
121b8139a1a61
13b69b0b8485
145cac542601
15329ebc56ad
hex1c716cd2a9

122162041513 has 2 divisors, whose sum is σ = 122162041514. Its totient is φ = 122162041512.

The previous prime is 122162041501. The next prime is 122162041517. The reversal of 122162041513 is 315140261221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113059355049 + 9102686464 = 336243^2 + 95408^2 .

It is a cyclic number.

It is not a de Polignac number, because 122162041513 - 213 = 122162033321 is a prime.

It is not a weakly prime, because it can be changed into another prime (122162041517) 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, 61081020756 + 61081020757.

It is an arithmetic number, because the mean of its divisors is an integer number (61081020757).

Almost surely, 2122162041513 is an apocalyptic number.

It is an amenable number.

122162041513 is a deficient number, since it is larger than the sum of its proper divisors (1).

122162041513 is an equidigital number, since it uses as much as digits as its factorization.

122162041513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 122162041513 in words is "one hundred twenty-two billion, one hundred sixty-two million, forty-one thousand, five hundred thirteen".