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34135875300 = 22352113786251
BaseRepresentation
bin11111110010101010…
…000001111011100100
310021002222200010200210
4133302222001323210
51024402241002200
623403134135420
72315630103222
oct376252017344
9107088603623
1034135875300
11135278a239a
126748051570
1332b01ab5a7
14191b84bb12
15d4bc8d650
hex7f2a81ee4

34135875300 has 36 divisors (see below), whose sum is σ = 98766466736. Its totient is φ = 9102900000.

The previous prime is 34135875299. The next prime is 34135875311. The reversal of 34135875300 is 357853143.

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 11 ways as a sum of consecutive naturals, for example, 56892826 + ... + 56893425.

Almost surely, 234135875300 is an apocalyptic number.

34135875300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34135875300 is an abundant number, since it is smaller than the sum of its proper divisors (64630591436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34135875300 is a wasteful number, since it uses less digits than its factorization.

34135875300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113786268 (or 113786261 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 34135875300 in words is "thirty-four billion, one hundred thirty-five million, eight hundred seventy-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 113786251 227572502 341358753 455145004 568931255 682717506 1137862510 1365435012 1706793765 2275725020 2844656275 3413587530 5689312550 6827175060 8533968825 11378625100 17067937650 34135875300