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20113133137 is a prime number
BaseRepresentation
bin10010101110110101…
…100000111001010001
31220220201102000201221
4102232311200321101
5312142430230022
613123450125041
71311264545056
oct225665407121
956821360657
1020113133137
118591380689
123a93a20781
131b86c69116
14d8b33502d
157cab66cc7
hex4aed60e51

20113133137 has 2 divisors, whose sum is σ = 20113133138. Its totient is φ = 20113133136.

The previous prime is 20113133119. The next prime is 20113133147. The reversal of 20113133137 is 73133131102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19187513361 + 925619776 = 138519^2 + 30424^2 .

It is a cyclic number.

It is not a de Polignac number, because 20113133137 - 27 = 20113133009 is a prime.

It is not a weakly prime, because it can be changed into another prime (20113133147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056566568 + 10056566569.

It is an arithmetic number, because the mean of its divisors is an integer number (10056566569).

Almost surely, 220113133137 is an apocalyptic number.

It is an amenable number.

20113133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20113133137 is an equidigital number, since it uses as much as digits as its factorization.

20113133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 20113133137 its reverse (73133131102), we get a palindrome (93246264239).

The spelling of 20113133137 in words is "twenty billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-seven".