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3345401453137 is a prime number
BaseRepresentation
bin110000101011101001011…
…101110001101001010001
3102211211001210001002102121
4300223221131301221101
5414302340233000022
611040504535214241
7463461111111142
oct60535135615121
912754053032377
103345401453137
11107a85a9a6777
12460440217381
131b361579c783
14b7cbdb29ac9
155c04cbe02c7
hex30ae9771a51

3345401453137 has 2 divisors, whose sum is σ = 3345401453138. Its totient is φ = 3345401453136.

The previous prime is 3345401453101. The next prime is 3345401453143. The reversal of 3345401453137 is 7313541045433.

3345401453137 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., 2845483164736 + 499918288401 = 1686856^2 + 707049^2 .

It is a cyclic number.

It is not a de Polignac number, because 3345401453137 - 211 = 3345401451089 is a prime.

It is a super-2 number, since 2×33454014531372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345401453093 and 3345401453102.

It is not a weakly prime, because it can be changed into another prime (3345401454137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1672700726568 + 1672700726569.

It is an arithmetic number, because the mean of its divisors is an integer number (1672700726569).

Almost surely, 23345401453137 is an apocalyptic number.

It is an amenable number.

3345401453137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3345401453137 is an equidigital number, since it uses as much as digits as its factorization.

3345401453137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 3345401453137 in words is "three trillion, three hundred forty-five billion, four hundred one million, four hundred fifty-three thousand, one hundred thirty-seven".