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34131430217 is a prime number
BaseRepresentation
bin11111110010011001…
…000100101101001001
310021002200022022012002
4133302121010231021
51024400121231332
623402455000345
72315544240623
oct376231045511
9107080268162
1034131430217
1113525336775
1267466690b5
1332ac2b3271
14191b011c13
15d4b6b1562
hex7f2644b49

34131430217 has 2 divisors, whose sum is σ = 34131430218. Its totient is φ = 34131430216.

The previous prime is 34131430169. The next prime is 34131430261. The reversal of 34131430217 is 71203413143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31775201536 + 2356228681 = 178256^2 + 48541^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34131430217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34131430217.

It is not a weakly prime, because it can be changed into another prime (34131430517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065715108 + 17065715109.

It is an arithmetic number, because the mean of its divisors is an integer number (17065715109).

Almost surely, 234131430217 is an apocalyptic number.

It is an amenable number.

34131430217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131430217 is an equidigital number, since it uses as much as digits as its factorization.

34131430217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 34131430217 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirty thousand, two hundred seventeen".