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34801210309 is a prime number
BaseRepresentation
bin100000011010010100…
…000101001111000101
310022211100121122202011
4200122110011033011
51032233102212214
623553142414221
72341256256355
oct403224051705
9108740548664
1034801210309
1113839415438
1268b2a31371
133387ca1548
141981d60b65
15d8a3b4ac4
hex81a5053c5

34801210309 has 2 divisors, whose sum is σ = 34801210310. Its totient is φ = 34801210308.

The previous prime is 34801210307. The next prime is 34801210333. The reversal of 34801210309 is 90301210843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18556433284 + 16244777025 = 136222^2 + 127455^2 .

It is a cyclic number.

It is not a de Polignac number, because 34801210309 - 21 = 34801210307 is a prime.

It is a super-2 number, since 2×348012103092 (a number of 22 digits) contains 22 as substring.

Together with 34801210307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34801210303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400605154 + 17400605155.

It is an arithmetic number, because the mean of its divisors is an integer number (17400605155).

Almost surely, 234801210309 is an apocalyptic number.

It is an amenable number.

34801210309 is a deficient number, since it is larger than the sum of its proper divisors (1).

34801210309 is an equidigital number, since it uses as much as digits as its factorization.

34801210309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 34801210309 in words is "thirty-four billion, eight hundred one million, two hundred ten thousand, three hundred nine".