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34334311313 is a prime number
BaseRepresentation
bin11111111110011111…
…000000001110010001
310021121211001201201202
4133332133000032101
51030304040430223
623434543240545
72323556554661
oct377637001621
9107554051652
1034334311313
11136199072a5
1267a25a9155
133312338a53
141939d441a1
15d5e3d9428
hex7fe7c0391

34334311313 has 2 divisors, whose sum is σ = 34334311314. Its totient is φ = 34334311312.

The previous prime is 34334311309. The next prime is 34334311327. The reversal of 34334311313 is 31311343343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33970913344 + 363397969 = 184312^2 + 19063^2 .

It is a cyclic number.

It is not a de Polignac number, because 34334311313 - 22 = 34334311309 is a prime.

It is not a weakly prime, because it can be changed into another prime (34334311213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17167155656 + 17167155657.

It is an arithmetic number, because the mean of its divisors is an integer number (17167155657).

Almost surely, 234334311313 is an apocalyptic number.

It is an amenable number.

34334311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34334311313 is an equidigital number, since it uses as much as digits as its factorization.

34334311313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 29.

Adding to 34334311313 its reverse (31311343343), we get a palindrome (65645654656).

The spelling of 34334311313 in words is "thirty-four billion, three hundred thirty-four million, three hundred eleven thousand, three hundred thirteen".