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3033201020117 is a prime number
BaseRepresentation
bin101100001000111000110…
…111101000110011010101
3101201222012222211211220212
4230020320313220303111
5344143443430120432
610241233332335205
7432066356162102
oct54107067506325
911658188754825
103033201020117
11a6a41199a584
1240ba30a74505
1319005012cc38
14a6b44513aa9
1553d793bd2b2
hex2c238de8cd5

3033201020117 has 2 divisors, whose sum is σ = 3033201020118. Its totient is φ = 3033201020116.

The previous prime is 3033201020093. The next prime is 3033201020137. The reversal of 3033201020117 is 7110201023303.

3033201020117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2984373721156 + 48827298961 = 1727534^2 + 220969^2 .

It is a cyclic number.

It is not a de Polignac number, because 3033201020117 - 26 = 3033201020053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3033201020092 and 3033201020101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3033201020137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1516600510058 + 1516600510059.

It is an arithmetic number, because the mean of its divisors is an integer number (1516600510059).

Almost surely, 23033201020117 is an apocalyptic number.

It is an amenable number.

3033201020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3033201020117 is an equidigital number, since it uses as much as digits as its factorization.

3033201020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The spelling of 3033201020117 in words is "three trillion, thirty-three billion, two hundred one million, twenty thousand, one hundred seventeen".