Search a number
-
+
122103332011097 is a prime number
BaseRepresentation
bin11011110000110101100101…
…101110101111110001011001
3121000022222001011000221002122
4123300311211232233301121
5112001020110443323342
61111405255113311025
734501450252245623
oct3360654556576131
9530288034027078
10122103332011097
11359a6806769378
121184053aa05475
1353193aa8b0278
142221b932cdc13
15e1b2c41454d2
hex6f0d65bafc59

122103332011097 has 2 divisors, whose sum is σ = 122103332011098. Its totient is φ = 122103332011096.

The previous prime is 122103332011013. The next prime is 122103332011121. The reversal of 122103332011097 is 790110233301221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119251729019536 + 2851602991561 = 10920244^2 + 1688669^2 .

It is a cyclic number.

It is not a de Polignac number, because 122103332011097 - 232 = 122099037043801 is a prime.

It is a super-2 number, since 2×1221033320110972 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122103332011697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051666005548 + 61051666005549.

It is an arithmetic number, because the mean of its divisors is an integer number (61051666005549).

Almost surely, 2122103332011097 is an apocalyptic number.

It is an amenable number.

122103332011097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103332011097 is an equidigital number, since it uses as much as digits as its factorization.

122103332011097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 122103332011097 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred thirty-two million, eleven thousand, ninety-seven".