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311193089 is a prime number
BaseRepresentation
bin10010100011000…
…110111000000001
3210200120020122222
4102203012320001
51114131134324
650513540425
710466045324
oct2243067001
9720506588
10311193089
1114a729a79
1288274715
134c61972c
142d4887bb
151c4c055e
hex128c6e01

311193089 has 2 divisors, whose sum is σ = 311193090. Its totient is φ = 311193088.

The previous prime is 311193049. The next prime is 311193133. The reversal of 311193089 is 980391113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310922689 + 270400 = 17633^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 311193089 - 224 = 294415873 is a prime.

It is a super-2 number, since 2×3111930892 = 193682277282723842, which contains 22 as substring.

It is equal to p16825481 and since 311193089 and 16825481 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (311193049) 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, 155596544 + 155596545.

It is an arithmetic number, because the mean of its divisors is an integer number (155596545).

Almost surely, 2311193089 is an apocalyptic number.

It is an amenable number.

311193089 is a deficient number, since it is larger than the sum of its proper divisors (1).

311193089 is an equidigital number, since it uses as much as digits as its factorization.

311193089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 311193089 is about 17640.6657754179. The cubic root of 311193089 is about 677.6570817172.

The spelling of 311193089 in words is "three hundred eleven million, one hundred ninety-three thousand, eighty-nine".