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34134230125 = 531132124121
BaseRepresentation
bin11111110010100011…
…110000010001101101
310021002212120112221101
4133302203300101231
51024401330331000
623403035003101
72315610111622
oct376243602155
9107085515841
1034134230125
1113526979346
126747599491
1332aca53808
14191b540349
15d4ba65e6a
hex7f28f046d

34134230125 has 16 divisors (see below), whose sum is σ = 42605048304. Its totient is φ = 27303840000.

The previous prime is 34134230099. The next prime is 34134230153. The reversal of 34134230125 is 52103243143.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23210217801 + 10924012324 = 152349^2 + 104518^2 .

It is not a de Polignac number, because 34134230125 - 211 = 34134228077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34134230093 and 34134230102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1403065 + ... + 1427185.

It is an arithmetic number, because the mean of its divisors is an integer number (2662815519).

Almost surely, 234134230125 is an apocalyptic number.

It is an amenable number.

34134230125 is a deficient number, since it is larger than the sum of its proper divisors (8470818179).

34134230125 is a wasteful number, since it uses less digits than its factorization.

34134230125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35457 (or 35447 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 34134230125 its reverse (52103243143), we get a palindrome (86237473268).

The spelling of 34134230125 in words is "thirty-four billion, one hundred thirty-four million, two hundred thirty thousand, one hundred twenty-five".

Divisors: 1 5 25 125 11321 24121 56605 120605 283025 603025 1415125 3015125 273073841 1365369205 6826846025 34134230125