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20102133013 is a prime number
BaseRepresentation
bin10010101110001011…
…100011010100010101
31220212221201011101221
4102232023203110111
5312132121224023
613122414250341
71311102211534
oct225613432425
956787634357
1020102133013
118586148076
123a901b69b1
131b848b7281
14d89ab031b
157c9be285d
hex4ae2e3515

20102133013 has 2 divisors, whose sum is σ = 20102133014. Its totient is φ = 20102133012.

The previous prime is 20102132989. The next prime is 20102133031. The reversal of 20102133013 is 31033120102.

Together with next prime (20102133031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13971712804 + 6130420209 = 118202^2 + 78297^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102133013 - 233 = 11512198421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20102133043) 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, 10051066506 + 10051066507.

It is an arithmetic number, because the mean of its divisors is an integer number (10051066507).

Almost surely, 220102133013 is an apocalyptic number.

It is an amenable number.

20102133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102133013 is an equidigital number, since it uses as much as digits as its factorization.

20102133013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20102133013 its reverse (31033120102), we get a palindrome (51135253115).

The spelling of 20102133013 in words is "twenty billion, one hundred two million, one hundred thirty-three thousand, thirteen".