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311441993 is a prime number
BaseRepresentation
bin10010100100000…
…011101001001001
3210201000220002122
4102210003221021
51114212120433
650523141025
710501133102
oct2244035111
9721026078
10311441993
1114a889a85
1288374775
134c6a5b05
142d5113a9
151c51e198
hex12903a49

311441993 has 2 divisors, whose sum is σ = 311441994. Its totient is φ = 311441992.

The previous prime is 311441971. The next prime is 311442031. The reversal of 311441993 is 399144113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212080969 + 99361024 = 14563^2 + 9968^2 .

It is a cyclic number.

It is not a de Polignac number, because 311441993 - 212 = 311437897 is a prime.

It is a super-2 number, since 2×3114419932 = 193992230007624098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311441093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155720996 + 155720997.

It is an arithmetic number, because the mean of its divisors is an integer number (155720997).

Almost surely, 2311441993 is an apocalyptic number.

It is an amenable number.

311441993 is a deficient number, since it is larger than the sum of its proper divisors (1).

311441993 is an equidigital number, since it uses as much as digits as its factorization.

311441993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 35.

The square root of 311441993 is about 17647.7192010752. The cubic root of 311441993 is about 677.8377054888.

The spelling of 311441993 in words is "three hundred eleven million, four hundred forty-one thousand, nine hundred ninety-three".