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34314121213 is a prime number
BaseRepresentation
bin11111111101010001…
…111110111111111101
310021120102001222010021
4133331101332333331
51030233403334323
623432542412141
72323223134501
oct377521767775
9107512058107
1034314121213
1113609477169
126797891051
13330b0b9c48
1419373aa301
15d5c74c05d
hex7fd47effd

34314121213 has 2 divisors, whose sum is σ = 34314121214. Its totient is φ = 34314121212.

The previous prime is 34314121207. The next prime is 34314121273. The reversal of 34314121213 is 31212141343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32479969284 + 1834151929 = 180222^2 + 42827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34314121213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34314121273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17157060606 + 17157060607.

It is an arithmetic number, because the mean of its divisors is an integer number (17157060607).

Almost surely, 234314121213 is an apocalyptic number.

It is an amenable number.

34314121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34314121213 is an equidigital number, since it uses as much as digits as its factorization.

34314121213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 25.

Adding to 34314121213 its reverse (31212141343), we get a palindrome (65526262556).

The spelling of 34314121213 in words is "thirty-four billion, three hundred fourteen million, one hundred twenty-one thousand, two hundred thirteen".