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311201249 is a prime number
BaseRepresentation
bin10010100011001…
…000110111100001
3210200120122212012
4102203020313201
51114131414444
650514042305
710466111162
oct2243106741
9720518765
10311201249
1114a735117
1288279395
134c620368
142d48b769
151c4c2b9e
hex128c8de1

311201249 has 2 divisors, whose sum is σ = 311201250. Its totient is φ = 311201248.

The previous prime is 311201237. The next prime is 311201299. The reversal of 311201249 is 942102113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257281600 + 53919649 = 16040^2 + 7343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311201249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (311201299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155600624 + 155600625.

It is an arithmetic number, because the mean of its divisors is an integer number (155600625).

Almost surely, 2311201249 is an apocalyptic number.

It is an amenable number.

311201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

311201249 is an equidigital number, since it uses as much as digits as its factorization.

311201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 311201249 is about 17640.8970576896. The cubic root of 311201249 is about 677.6630047637.

The spelling of 311201249 in words is "three hundred eleven million, two hundred one thousand, two hundred forty-nine".