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311331329 is a prime number
BaseRepresentation
bin10010100011101…
…000101000000001
3210200211021021222
4102203220220001
51114200100304
650520524425
710500162341
oct2243505001
9720737258
10311331329
1114a813921
1288320715
134c66762a
142d4c2d21
151c4eb4be
hex128e8a01

311331329 has 2 divisors, whose sum is σ = 311331330. Its totient is φ = 311331328.

The previous prime is 311331301. The next prime is 311331341. The reversal of 311331329 is 923133113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287370304 + 23961025 = 16952^2 + 4895^2 .

It is a cyclic number.

It is not a de Polignac number, because 311331329 - 28 = 311331073 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311331298 and 311331307.

It is not a weakly prime, because it can be changed into another prime (311331029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665664 + 155665665.

It is an arithmetic number, because the mean of its divisors is an integer number (155665665).

Almost surely, 2311331329 is an apocalyptic number.

It is an amenable number.

311331329 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331329 is an equidigital number, since it uses as much as digits as its factorization.

311331329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1458, while the sum is 26.

The square root of 311331329 is about 17644.5835598350. The cubic root of 311331329 is about 677.7574111162.

The spelling of 311331329 in words is "three hundred eleven million, three hundred thirty-one thousand, three hundred twenty-nine".