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34100250125 = 531132414177
BaseRepresentation
bin11111110000100010…
…001000011000001101
310021000111122012010212
4133300202020120031
51024314131001000
623355422412205
72315015225564
oct376042103015
9107014565125
1034100250125
111350977a6a7
126738131065
1332a59b70c6
141916c16bdb
15d48aa2c35
hex7f088860d

34100250125 has 16 divisors (see below), whose sum is σ = 42933741552. Its totient is φ = 27038771200.

The previous prime is 34100250059. The next prime is 34100250127. The reversal of 34100250125 is 52105200143.

It can be written as a sum of positive squares in 8 ways, for example, as 23805712681 + 10294537444 = 154291^2 + 101462^2 .

It is not a de Polignac number, because 34100250125 - 218 = 34099987981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34100250125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100250127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192964 + ... + 1221213.

It is an arithmetic number, because the mean of its divisors is an integer number (2683358847).

Almost surely, 234100250125 is an apocalyptic number.

It is an amenable number.

34100250125 is a deficient number, since it is larger than the sum of its proper divisors (8833491427).

34100250125 is a wasteful number, since it uses less digits than its factorization.

34100250125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414305 (or 2414295 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 34100250125 its reverse (52105200143), we get a palindrome (86205450268).

The spelling of 34100250125 in words is "thirty-four billion, one hundred million, two hundred fifty thousand, one hundred twenty-five".

Divisors: 1 5 25 113 125 565 2825 14125 2414177 12070885 60354425 272802001 301772125 1364010005 6820050025 34100250125