Search a number
-
+
20100203009 is a prime number
BaseRepresentation
bin10010101110000100…
…001100001000000001
31220212211002002221022
4102232010030020001
5312131122444014
613122305035225
71311046622645
oct225604141001
956784062838
1020100203009
11858504a027
123a8b625b15
131b8438c963
14d8972ac25
157c9960a8e
hex4ae10c201

20100203009 has 2 divisors, whose sum is σ = 20100203010. Its totient is φ = 20100203008.

The previous prime is 20100202949. The next prime is 20100203017. The reversal of 20100203009 is 90030200102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19896513025 + 203689984 = 141055^2 + 14272^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100203009 - 28 = 20100202753 is a prime.

It is a super-2 number, since 2×201002030092 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20100203029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050101504 + 10050101505.

It is an arithmetic number, because the mean of its divisors is an integer number (10050101505).

Almost surely, 220100203009 is an apocalyptic number.

It is an amenable number.

20100203009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100203009 is an equidigital number, since it uses as much as digits as its factorization.

20100203009 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 17.

The spelling of 20100203009 in words is "twenty billion, one hundred million, two hundred three thousand, nine".