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311300223121 is a prime number
BaseRepresentation
bin1001000011110101111…
…00000111000010010001
31002202112001021211200101
410201322330013002101
520100020324114441
6355002004052401
731330211144266
oct4417274070221
91082461254611
10311300223121
11110026951178
12503b9994101
1323481001774
14110d1c4326d
15816e7a3231
hex487af07091

311300223121 has 2 divisors, whose sum is σ = 311300223122. Its totient is φ = 311300223120.

The previous prime is 311300223119. The next prime is 311300223151. The reversal of 311300223121 is 121322003113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179030534400 + 132269688721 = 423120^2 + 363689^2 .

It is an emirp because it is prime and its reverse (121322003113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311300223121 - 21 = 311300223119 is a prime.

Together with 311300223119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (311300223151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155650111560 + 155650111561.

It is an arithmetic number, because the mean of its divisors is an integer number (155650111561).

Almost surely, 2311300223121 is an apocalyptic number.

It is an amenable number.

311300223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311300223121 is an equidigital number, since it uses as much as digits as its factorization.

311300223121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 311300223121 its reverse (121322003113), we get a palindrome (432622226234).

The spelling of 311300223121 in words is "three hundred eleven billion, three hundred million, two hundred twenty-three thousand, one hundred twenty-one".