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122033010013 is a prime number
BaseRepresentation
bin111000110100110111…
…0111111010101011101
3102122222200122012221121
41301221232333111131
53444410422310023
6132021114530541
711550043320205
oct1615156772535
9378880565847
10122033010013
11478324a8692
121b798736a51
13b67a44b785
145c99355405
1532936d8d5d
hex1c69bbf55d

122033010013 has 2 divisors, whose sum is σ = 122033010014. Its totient is φ = 122033010012.

The previous prime is 122033009993. The next prime is 122033010017. The reversal of 122033010013 is 310010330221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121953211524 + 79798489 = 349218^2 + 8933^2 .

It is a cyclic number.

It is not a de Polignac number, because 122033010013 - 225 = 121999455581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122033010017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016505006 + 61016505007.

It is an arithmetic number, because the mean of its divisors is an integer number (61016505007).

Almost surely, 2122033010013 is an apocalyptic number.

It is an amenable number.

122033010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033010013 is an equidigital number, since it uses as much as digits as its factorization.

122033010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122033010013 its reverse (310010330221), we get a palindrome (432043340234).

The spelling of 122033010013 in words is "one hundred twenty-two billion, thirty-three million, ten thousand, thirteen".