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311221321210757 is a prime number
BaseRepresentation
bin100011011000011011101110…
…0010011000001101110000101
31111210221110121222111200100102
41012300313130103001232011
5311243022231212221012
63021525033505253445
7122360666316135626
oct10660673423015605
91453843558450312
10311221321210757
119018a248333871
122aaa493a934285
1310487077176179
1456bd299a17a4d
1525ea8aa1d82c2
hex11b0ddc4c1b85

311221321210757 has 2 divisors, whose sum is σ = 311221321210758. Its totient is φ = 311221321210756.

The previous prime is 311221321210747. The next prime is 311221321210781. The reversal of 311221321210757 is 757012123122113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310392831684961 + 828489525796 = 17617969^2 + 910214^2 .

It is a cyclic number.

It is not a de Polignac number, because 311221321210757 - 212 = 311221321206661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311221321210757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311221321210747) 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, 155610660605378 + 155610660605379.

It is an arithmetic number, because the mean of its divisors is an integer number (155610660605379).

Almost surely, 2311221321210757 is an apocalyptic number.

It is an amenable number.

311221321210757 is a deficient number, since it is larger than the sum of its proper divisors (1).

311221321210757 is an equidigital number, since it uses as much as digits as its factorization.

311221321210757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 311221321210757 in words is "three hundred eleven trillion, two hundred twenty-one billion, three hundred twenty-one million, two hundred ten thousand, seven hundred fifty-seven".