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2011331240309 is a prime number
BaseRepresentation
bin11101010001001100101…
…011110010000101110101
321010021121010120111111002
4131101030223302011311
5230423201244142214
64135554240453045
7265212443313056
oct35211453620565
97107533514432
102011331240309
117060010603a6
1228598691a185
1311788aca71b1
146d4c574672d
15374bcb9c1de
hex1d44caf2175

2011331240309 has 2 divisors, whose sum is σ = 2011331240310. Its totient is φ = 2011331240308.

The previous prime is 2011331240251. The next prime is 2011331240311. The reversal of 2011331240309 is 9030421331102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1862105868100 + 149225372209 = 1364590^2 + 386297^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011331240309 - 232 = 2007036273013 is a prime.

It is a Sophie Germain prime.

Together with 2011331240311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011331240329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005665620154 + 1005665620155.

It is an arithmetic number, because the mean of its divisors is an integer number (1005665620155).

Almost surely, 22011331240309 is an apocalyptic number.

It is an amenable number.

2011331240309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011331240309 is an equidigital number, since it uses as much as digits as its factorization.

2011331240309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 2011331240309 in words is "two trillion, eleven billion, three hundred thirty-one million, two hundred forty thousand, three hundred nine".