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20004145013 is a prime number
BaseRepresentation
bin10010101000010101…
…110000011101110101
31220122010022212010202
4102220111300131311
5311432030120023
613104554130245
71305502266326
oct225025603565
956563285122
1020004145013
118535900256
123a63420985
131b6a4c94c8
14d7aa8444d
157c12d9128
hex4a8570775

20004145013 has 2 divisors, whose sum is σ = 20004145014. Its totient is φ = 20004145012.

The previous prime is 20004144997. The next prime is 20004145069. The reversal of 20004145013 is 31054140002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12705347524 + 7298797489 = 112718^2 + 85433^2 .

It is a cyclic number.

It is not a de Polignac number, because 20004145013 - 24 = 20004144997 is a prime.

It is a super-2 number, since 2×200041450132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20004145613) 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, 10002072506 + 10002072507.

It is an arithmetic number, because the mean of its divisors is an integer number (10002072507).

Almost surely, 220004145013 is an apocalyptic number.

It is an amenable number.

20004145013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20004145013 is an equidigital number, since it uses as much as digits as its factorization.

20004145013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20004145013 its reverse (31054140002), we get a palindrome (51058285015).

The spelling of 20004145013 in words is "twenty billion, four million, one hundred forty-five thousand, thirteen".