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34211230525 = 5217541148793
BaseRepresentation
bin11111110111001001…
…011111001100111101
310021022020110120122001
4133313021133030331
51030031033334100
623414425222301
72320533442603
oct376711371475
9107266416561
1034211230525
111356639093a
126769331991
1332c29a3794
141927865873
15d536c5d6a
hex7f725f33d

34211230525 has 24 divisors (see below), whose sum is σ = 45000662184. Its totient is φ = 25711257600.

The previous prime is 34211230483. The next prime is 34211230541. The reversal of 34211230525 is 52503211243.

It can be written as a sum of positive squares in 12 ways, for example, as 10910429209 + 23300801316 = 104453^2 + 152646^2 .

It is not a de Polignac number, because 34211230525 - 221 = 34209133373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34211230493 and 34211230502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155529 + ... + 304321.

It is an arithmetic number, because the mean of its divisors is an integer number (1875027591).

Almost surely, 234211230525 is an apocalyptic number.

It is an amenable number.

34211230525 is a deficient number, since it is larger than the sum of its proper divisors (10789431659).

34211230525 is a wasteful number, since it uses less digits than its factorization.

34211230525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149361 (or 149356 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 34211230525 its reverse (52503211243), we get a palindrome (86714441768).

The spelling of 34211230525 in words is "thirty-four billion, two hundred eleven million, two hundred thirty thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 425 541 2705 9197 13525 45985 148793 229925 743965 2529481 3719825 12647405 63237025 80497013 402485065 1368449221 2012425325 6842246105 34211230525