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34012000125 = 325330232889
BaseRepresentation
bin11111101011010001…
…011110111101111101
310020210100120121220100
4133223101132331331
51024124033001000
623342551111313
72312564142135
oct375321367575
9106710517810
1034012000125
1113473984114
126712672539
13329062887c
141909203ac5
15d40e6ea00
hex7eb45ef7d

34012000125 has 24 divisors (see below), whose sum is σ = 61312300920. Its totient is φ = 18139732800.

The previous prime is 34012000097. The next prime is 34012000157. The reversal of 34012000125 is 52100021043.

34012000125 is a `hidden beast` number, since 340 + 1 + 200 + 0 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1332761049 + 32679239076 = 36507^2 + 180774^2 .

It is not a de Polignac number, because 34012000125 - 29 = 34011999613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34012000098 and 34012000107.

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, 15115320 + ... + 15117569.

It is an arithmetic number, because the mean of its divisors is an integer number (2554679205).

Almost surely, 234012000125 is an apocalyptic number.

It is an amenable number.

34012000125 is a deficient number, since it is larger than the sum of its proper divisors (27300300795).

34012000125 is a wasteful number, since it uses less digits than its factorization.

34012000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30232910 (or 30232897 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 34012000125 its reverse (52100021043), we get a palindrome (86112021168).

The spelling of 34012000125 in words is "thirty-four billion, twelve million, one hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 30232889 90698667 151164445 272096001 453493335 755822225 1360480005 2267466675 3779111125 6802400025 11337333375 34012000125