Search a number
-
+
120311312249 is a prime number
BaseRepresentation
bin111000000001100011…
…1001110111101111001
3102111112200221220121202
41300003013032331321
53432344143442444
6131134212543545
711456266165202
oct1600307167571
9374480856552
10120311312249
1147029665677
121b398021bb5
13b4648460bb
145b748225a9
1531e249b34e
hex1c031cef79

120311312249 has 2 divisors, whose sum is σ = 120311312250. Its totient is φ = 120311312248.

The previous prime is 120311312141. The next prime is 120311312269. The reversal of 120311312249 is 942213113021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119824668649 + 486643600 = 346157^2 + 22060^2 .

It is an emirp because it is prime and its reverse (942213113021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120311312249 - 212 = 120311308153 is a prime.

It is not a weakly prime, because it can be changed into another prime (120311312269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60155656124 + 60155656125.

It is an arithmetic number, because the mean of its divisors is an integer number (60155656125).

Almost surely, 2120311312249 is an apocalyptic number.

It is an amenable number.

120311312249 is a deficient number, since it is larger than the sum of its proper divisors (1).

120311312249 is an equidigital number, since it uses as much as digits as its factorization.

120311312249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 120311312249 in words is "one hundred twenty billion, three hundred eleven million, three hundred twelve thousand, two hundred forty-nine".