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34251025121 = 531135718989
BaseRepresentation
bin11111111001100001…
…010010101011100001
310021102000100100112222
4133321201102223201
51030121230300441
623422410200425
72321525624045
oct377141225341
9107360310488
1034251025121
11135868a1135
12677a723115
1332cacc7991
14192cc64025
15d56e36d4b
hex7f9852ae1

34251025121 has 8 divisors (see below), whose sum is σ = 35206102440. Its totient is φ = 33307386112.

The previous prime is 34251025079. The next prime is 34251025129. The reversal of 34251025121 is 12152015243.

It can be written as a sum of positive squares in 4 ways, for example, as 9022150225 + 25228874896 = 94985^2 + 158836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34251025121 - 210 = 34251024097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34251025129) 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 in 7 ways as a sum of consecutive naturals, for example, 2853506 + ... + 2865483.

It is an arithmetic number, because the mean of its divisors is an integer number (4400762805).

Almost surely, 234251025121 is an apocalyptic number.

It is an amenable number.

34251025121 is a deficient number, since it is larger than the sum of its proper divisors (955077319).

34251025121 is a wasteful number, since it uses less digits than its factorization.

34251025121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719155.

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 34251025121 in words is "thirty-four billion, two hundred fifty-one million, twenty-five thousand, one hundred twenty-one".

Divisors: 1 53 113 5989 5718989 303106417 646245757 34251025121