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2000918202013 is a prime number
BaseRepresentation
bin11101000111100000000…
…001001100011010011101
321002021201102121100100001
4131013200001030122131
5230240340024431023
64131113101134301
7264363422043613
oct35074001143235
97067642540301
102000918202013
11701648185625
1228395b55a391
131168bb861983
146cbb87c76b3
15370ad9026ad
hex1d1e004c69d

2000918202013 has 2 divisors, whose sum is σ = 2000918202014. Its totient is φ = 2000918202012.

The previous prime is 2000918202001. The next prime is 2000918202037. The reversal of 2000918202013 is 3102028190002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1182584476089 + 818333725924 = 1087467^2 + 904618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000918202013 is a prime.

It is a super-2 number, since 2×20009182020132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000918208013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000459101006 + 1000459101007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000459101007).

Almost surely, 22000918202013 is an apocalyptic number.

It is an amenable number.

2000918202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000918202013 is an equidigital number, since it uses as much as digits as its factorization.

2000918202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 2000918202013 in words is "two trillion, nine hundred eighteen million, two hundred two thousand, thirteen".