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311330200021229 is a prime number
BaseRepresentation
bin100011011001001110011010…
…1111110101110100011101101
31111211022212122221012022211102
41012302130311332232203231
5311301313222201134404
63022051041444132445
7122401602404561144
oct10662346576564355
91454285587168742
10311330200021229
119022143a606664
122ab01a66097125
13104944092b36cc
1456c4667d4475b
1525ed62db6171e
hex11b2735fae8ed

311330200021229 has 2 divisors, whose sum is σ = 311330200021230. Its totient is φ = 311330200021228.

The previous prime is 311330200021199. The next prime is 311330200021241. The reversal of 311330200021229 is 922120002033113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179342316015625 + 131987884005604 = 13391875^2 + 11488598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311330200021229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311330200026229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665100010614 + 155665100010615.

It is an arithmetic number, because the mean of its divisors is an integer number (155665100010615).

Almost surely, 2311330200021229 is an apocalyptic number.

It is an amenable number.

311330200021229 is a deficient number, since it is larger than the sum of its proper divisors (1).

311330200021229 is an equidigital number, since it uses as much as digits as its factorization.

311330200021229 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 311330200021229 in words is "three hundred eleven trillion, three hundred thirty billion, two hundred million, twenty-one thousand, two hundred twenty-nine".