Search a number
-
+
311300989 is a prime number
BaseRepresentation
bin10010100011100…
…001001101111101
3210200202201200021
4102203201031331
51114143112424
650520132141
710500005026
oct2243411575
9720681607
10311300989
1114a7a304a
1288307051
134c65688c
142d4b5c4d
151c4e24e4
hex128e137d

311300989 has 2 divisors, whose sum is σ = 311300990. Its totient is φ = 311300988.

The previous prime is 311300963. The next prime is 311301019. The reversal of 311300989 is 989003113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212139225 + 99161764 = 14565^2 + 9958^2 .

It is a cyclic number.

It is not a de Polignac number, because 311300989 - 29 = 311300477 is a prime.

It is equal to p16830916 and since 311300989 and 16830916 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311300909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155650494 + 155650495.

It is an arithmetic number, because the mean of its divisors is an integer number (155650495).

Almost surely, 2311300989 is an apocalyptic number.

It is an amenable number.

311300989 is a deficient number, since it is larger than the sum of its proper divisors (1).

311300989 is an equidigital number, since it uses as much as digits as its factorization.

311300989 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 34.

The square root of 311300989 is about 17643.7237849610. The cubic root of 311300989 is about 677.7353940282.

The spelling of 311300989 in words is "three hundred eleven million, three hundred thousand, nine hundred eighty-nine".