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311303023013 is a prime number
BaseRepresentation
bin1001000011110110001…
…10110010100110100101
31002202112020120002102002
410201323012302212211
520100022033214023
6355002144055045
731330244015243
oct4417306624645
91082466502362
10311303023013
11110028493834
12503ba904485
1323481771cc8
14110d2371793
15816eb57b28
hex487b1b29a5

311303023013 has 2 divisors, whose sum is σ = 311303023014. Its totient is φ = 311303023012.

The previous prime is 311303023007. The next prime is 311303023021. The reversal of 311303023013 is 310320303113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305276140324 + 6026882689 = 552518^2 + 77633^2 .

It is an emirp because it is prime and its reverse (310320303113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311303023013 - 210 = 311303021989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311303023063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155651511506 + 155651511507.

It is an arithmetic number, because the mean of its divisors is an integer number (155651511507).

Almost surely, 2311303023013 is an apocalyptic number.

It is an amenable number.

311303023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311303023013 is an equidigital number, since it uses as much as digits as its factorization.

311303023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 311303023013 its reverse (310320303113), we get a palindrome (621623326126).

The spelling of 311303023013 in words is "three hundred eleven billion, three hundred three million, twenty-three thousand, thirteen".