Search a number
-
+
104011334320 = 24543211114323
BaseRepresentation
bin110000011011110001…
…1110000001010110000
3100221110201200020110111
41200313203300022300
53201003400144240
6115440535511104
710341332516515
oct1406743601260
9327421606414
10104011334320
1140124760a33
12181a9228494
139a6789c14a
145069ac530c
152a8b49d1ea
hex18378f02b0

104011334320 has 80 divisors (see below), whose sum is σ = 247584724992. Its totient is φ = 40614900480.

The previous prime is 104011334293. The next prime is 104011334377. The reversal of 104011334320 is 23433110401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 104011334291 and 104011334300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7254679 + ... + 7269001.

Almost surely, 2104011334320 is an apocalyptic number.

104011334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104011334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123792362496).

104011334320 is an abundant number, since it is smaller than the sum of its proper divisors (143573390672).

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

104011334320 is a wasteful number, since it uses less digits than its factorization.

104011334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16490 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 104011334320 its reverse (23433110401), we get a palindrome (127444444721).

The spelling of 104011334320 in words is "one hundred four billion, eleven million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2111 3440 4222 8444 10555 14323 16888 21110 28646 33776 42220 57292 71615 84440 90773 114584 143230 168880 181546 229168 286460 363092 453865 572920 615889 726184 907730 1145840 1231778 1452368 1815460 2463556 3079445 3630920 4927112 6158890 7261840 9854224 12317780 24635560 30235853 49271120 60471706 120943412 151179265 241886824 302358530 483773648 604717060 1209434120 1300141679 2418868240 2600283358 5200566716 6500708395 10401133432 13001416790 20802266864 26002833580 52005667160 104011334320