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2100000013 = 2418713693
BaseRepresentation
bin111110100101011…
…0111010100001101
312102100112001110021
41331022313110031
513300100000023
6544214142141
7103016464006
oct17512672415
95370461407
102100000013
11988439101
124a7351951
132760bab77
1415cc8a1ad
15c456735d
hex7d2b750d

2100000013 has 4 divisors (see below), whose sum is σ = 2108713948. Its totient is φ = 2091286080.

The previous prime is 2100000011. The next prime is 2100000017. The reversal of 2100000013 is 3100000012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1427479524 + 672520489 = 37782^2 + 25933^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100000013 - 21 = 2100000011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2099999951 and 2100000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4356606 + ... + 4357087.

It is an arithmetic number, because the mean of its divisors is an integer number (527178487).

Almost surely, 22100000013 is an apocalyptic number.

It is an amenable number.

2100000013 is a deficient number, since it is larger than the sum of its proper divisors (8713935).

2100000013 is an equidigital number, since it uses as much as digits as its factorization.

2100000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713934.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2100000013 is about 45825.7570914000. The cubic root of 2100000013 is about 1280.5791676300.

Adding to 2100000013 its reverse (3100000012), we get a palindrome (5200000025).

Subtracting 2100000013 from its reverse (3100000012), we obtain a palindrome (999999999).

The spelling of 2100000013 in words is "two billion, one hundred million, thirteen", and thus it is an aban number.

Divisors: 1 241 8713693 2100000013