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34005820061 is a prime number
BaseRepresentation
bin11111101010111001…
…111010001010011101
310020202220221122110002
4133222321322022131
51024120442220221
623342210424045
72312460462353
oct375271721235
9106686848402
1034005820061
1113470442a24
126710592025
13328c273925
1419084757d3
15d4064d80b
hex7eae7a29d

34005820061 has 2 divisors, whose sum is σ = 34005820062. Its totient is φ = 34005820060.

The previous prime is 34005820027. The next prime is 34005820067. The reversal of 34005820061 is 16002850043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26043827161 + 7961992900 = 161381^2 + 89230^2 .

It is a cyclic number.

It is not a de Polignac number, because 34005820061 - 26 = 34005819997 is a prime.

It is a super-2 number, since 2×340058200612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34005820067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002910030 + 17002910031.

It is an arithmetic number, because the mean of its divisors is an integer number (17002910031).

Almost surely, 234005820061 is an apocalyptic number.

It is an amenable number.

34005820061 is a deficient number, since it is larger than the sum of its proper divisors (1).

34005820061 is an equidigital number, since it uses as much as digits as its factorization.

34005820061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 34005820061 in words is "thirty-four billion, five million, eight hundred twenty thousand, sixty-one".