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34065250313 is a prime number
BaseRepresentation
bin11111101110011100…
…100111100000001001
310020221001210000102112
4133232130213200021
51024231201002223
623352132312105
72314111564403
oct375634474011
9106831700375
1034065250313
11134a0a44836
126728472635
13329b681463
141912305b73
15d4598c778
hex7ee727809

34065250313 has 2 divisors, whose sum is σ = 34065250314. Its totient is φ = 34065250312.

The previous prime is 34065250279. The next prime is 34065250321. The reversal of 34065250313 is 31305256043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33954327289 + 110923024 = 184267^2 + 10532^2 .

It is a cyclic number.

It is not a de Polignac number, because 34065250313 - 26 = 34065250249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34065250313.

It is not a weakly prime, because it can be changed into another prime (34065250363) 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, 17032625156 + 17032625157.

It is an arithmetic number, because the mean of its divisors is an integer number (17032625157).

Almost surely, 234065250313 is an apocalyptic number.

It is an amenable number.

34065250313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34065250313 is an equidigital number, since it uses as much as digits as its factorization.

34065250313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 34065250313 in words is "thirty-four billion, sixty-five million, two hundred fifty thousand, three hundred thirteen".