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311331029 is a prime number
BaseRepresentation
bin10010100011101…
…000100011010101
3210200211020212212
4102203220203111
51114200043104
650520523205
710500161432
oct2243504325
9720736785
10311331029
1114a813679
1288320505
134c667459
142d4c2b89
151c4eb36e
hex128e88d5

311331029 has 2 divisors, whose sum is σ = 311331030. Its totient is φ = 311331028.

The previous prime is 311331019. The next prime is 311331071. The reversal of 311331029 is 920133113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309830404 + 1500625 = 17602^2 + 1225^2 .

It is an emirp because it is prime and its reverse (920133113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311331029 - 224 = 294553813 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 311330995 and 311331013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311331019) 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, 155665514 + 155665515.

It is an arithmetic number, because the mean of its divisors is an integer number (155665515).

Almost surely, 2311331029 is an apocalyptic number.

It is an amenable number.

311331029 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331029 is an equidigital number, since it uses as much as digits as its factorization.

311331029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 311331029 is about 17644.5750586405. The cubic root of 311331029 is about 677.7571934197.

The spelling of 311331029 in words is "three hundred eleven million, three hundred thirty-one thousand, twenty-nine".