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34135003201 = 132625769477
BaseRepresentation
bin11111110010100110…
…101101000001000001
310021002221000211101211
4133302212231001001
51024402030100301
623403103330121
72315616511525
oct376246550101
9107087024354
1034135003201
1113527357152
1267478b0941
1332acc64660
14191b6a1d85
15d4bb6a051
hex7f29ad041

34135003201 has 4 divisors (see below), whose sum is σ = 36760772692. Its totient is φ = 31509233712.

The previous prime is 34135003193. The next prime is 34135003207. The reversal of 34135003201 is 10230053143.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10230053143 = 80891264687.

It can be written as a sum of positive squares in 2 ways, for example, as 10970467600 + 23164535601 = 104740^2 + 152199^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135003201 - 23 = 34135003193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34135003207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312884726 + ... + 1312884751.

It is an arithmetic number, because the mean of its divisors is an integer number (9190193173).

Almost surely, 234135003201 is an apocalyptic number.

It is an amenable number.

34135003201 is a deficient number, since it is larger than the sum of its proper divisors (2625769491).

34135003201 is a wasteful number, since it uses less digits than its factorization.

34135003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625769490.

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 34135003201 its reverse (10230053143), we get a palindrome (44365056344).

The spelling of 34135003201 in words is "thirty-four billion, one hundred thirty-five million, three thousand, two hundred one".

Divisors: 1 13 2625769477 34135003201