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34273218313 is a prime number
BaseRepresentation
bin11111111010110101…
…111100111100001001
310021110120002212220001
4133322311330330021
51030142420441223
623424522003001
72322215356165
oct377265747411
9107416085801
1034273218313
111359837a214
126786046461
133302798449
141931b9dca5
15d58d6c9ad
hex7fad7cf09

34273218313 has 2 divisors, whose sum is σ = 34273218314. Its totient is φ = 34273218312.

The previous prime is 34273218269. The next prime is 34273218337. The reversal of 34273218313 is 31381237243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30867678864 + 3405539449 = 175692^2 + 58357^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34273218313 is a prime.

It is not a weakly prime, because it can be changed into another prime (34273210313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17136609156 + 17136609157.

It is an arithmetic number, because the mean of its divisors is an integer number (17136609157).

Almost surely, 234273218313 is an apocalyptic number.

It is an amenable number.

34273218313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34273218313 is an equidigital number, since it uses as much as digits as its factorization.

34273218313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 37.

The spelling of 34273218313 in words is "thirty-four billion, two hundred seventy-three million, two hundred eighteen thousand, three hundred thirteen".