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34131422029 is a prime number
BaseRepresentation
bin11111110010011001…
…000010101101001101
310021002200021212221211
4133302121002231031
51024400121001104
623402454454421
72315544205015
oct376231025515
9107080255854
1034131422029
1113525330601
126746664411
1332ac2ac613
14191b00cc45
15d4b6ade04
hex7f2642b4d

34131422029 has 2 divisors, whose sum is σ = 34131422030. Its totient is φ = 34131422028.

The previous prime is 34131421991. The next prime is 34131422047. The reversal of 34131422029 is 92022413143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20059056900 + 14072365129 = 141630^2 + 118627^2 .

It is a cyclic number.

It is not a de Polignac number, because 34131422029 - 233 = 25541487437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34131426029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065711014 + 17065711015.

It is an arithmetic number, because the mean of its divisors is an integer number (17065711015).

Almost surely, 234131422029 is an apocalyptic number.

It is an amenable number.

34131422029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131422029 is an equidigital number, since it uses as much as digits as its factorization.

34131422029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 34131422029 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-two thousand, twenty-nine".