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34101240100 = 22521747426799
BaseRepresentation
bin11111110000100101…
…111010000100100100
310021000120111111010121
4133300211322010210
51024314404140400
623355455531324
72315026521034
oct376045720444
9107016444117
1034101240100
111350a296464
126738529b44
1332a5c728a5
141916dd38c4
15d48beb21a
hex7f097a124

34101240100 has 72 divisors (see below), whose sum is σ = 80019878400. Its totient is φ = 12564933120.

The previous prime is 34101240091. The next prime is 34101240149. The reversal of 34101240100 is 104210143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133500 + ... + 293299.

It is an arithmetic number, because the mean of its divisors is an integer number (1111387200).

Almost surely, 234101240100 is an apocalyptic number.

It is an amenable number.

34101240100 is an abundant number, since it is smaller than the sum of its proper divisors (45918638300).

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

34101240100 is a wasteful number, since it uses less digits than its factorization.

34101240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426877 (or 426870 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34101240100 its reverse (104210143), we get a palindrome (34205450243).

The spelling of 34101240100 in words is "thirty-four billion, one hundred one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 340 425 470 799 850 940 1175 1598 1700 2350 3196 3995 4700 7990 15980 19975 39950 79900 426799 853598 1707196 2133995 4267990 7255583 8535980 10669975 14511166 20059553 21339950 29022332 36277915 40119106 42679900 72555830 80238212 100297765 145111660 181389575 200595530 341012401 362779150 401191060 501488825 682024802 725558300 1002977650 1364049604 1705062005 2005955300 3410124010 6820248020 8525310025 17050620050 34101240100