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311003200100209 is a prime number
BaseRepresentation
bin100011010110110110001001…
…1010001000001011101110001
31111210011121121202011012101111
41012231230103101001131301
5311230434023211201314
63021240521525033321
7122336145136241551
oct10655542321013561
91453147552135344
10311003200100209
1190105797690051
122aa6a606555841
131046c625801196
1456b28c6dc1161
1525e4d90e35ec4
hex11adb13441771

311003200100209 has 2 divisors, whose sum is σ = 311003200100210. Its totient is φ = 311003200100208.

The previous prime is 311003200100207. The next prime is 311003200100213. The reversal of 311003200100209 is 902001002300113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245761587936225 + 65241612163984 = 15676785^2 + 8077228^2 .

It is a cyclic number.

It is not a de Polignac number, because 311003200100209 - 21 = 311003200100207 is a prime.

Together with 311003200100207, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 311003200100209.

It is not a weakly prime, because it can be changed into another prime (311003200100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155501600050104 + 155501600050105.

It is an arithmetic number, because the mean of its divisors is an integer number (155501600050105).

Almost surely, 2311003200100209 is an apocalyptic number.

It is an amenable number.

311003200100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

311003200100209 is an equidigital number, since it uses as much as digits as its factorization.

311003200100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 311003200100209 in words is "three hundred eleven trillion, three billion, two hundred million, one hundred thousand, two hundred nine".