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311133349 is a prime number
BaseRepresentation
bin10010100010111…
…000010010100101
3210200110012201101
4102202320102211
51114122231344
650512400101
710465406212
oct2242702245
9720405641
10311133349
1114a6990aa
1288246031
134c5c8497
142d470b09
151c4ac9d4
hex128b84a5

311133349 has 2 divisors, whose sum is σ = 311133350. Its totient is φ = 311133348.

The previous prime is 311133331. The next prime is 311133353. The reversal of 311133349 is 943331113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222904900 + 88228449 = 14930^2 + 9393^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311133349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311133359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155566674 + 155566675.

It is an arithmetic number, because the mean of its divisors is an integer number (155566675).

Almost surely, 2311133349 is an apocalyptic number.

It is an amenable number.

311133349 is a deficient number, since it is larger than the sum of its proper divisors (1).

311133349 is an equidigital number, since it uses as much as digits as its factorization.

311133349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

The square root of 311133349 is about 17638.9724473961. The cubic root of 311133349 is about 677.6137154747.

The spelling of 311133349 in words is "three hundred eleven million, one hundred thirty-three thousand, three hundred forty-nine".