Search a number
-
+
1104332040200 = 2352311531116341
BaseRepresentation
bin10000000100011111010…
…100011010100000001000
310220120110210120012201002
4100010133110122200020
5121043133000241300
62203153444114132
7142533243314234
oct20043724324010
93816423505632
101104332040200
11396387712a04
1215a03a695948
13801a443527c
143b6429715c4
151dad5e635d5
hex1011f51a808

1104332040200 has 96 divisors (see below), whose sum is σ = 2652150846720. Its totient is φ = 427200480000.

The previous prime is 1104332040181. The next prime is 1104332040247. The reversal of 1104332040200 is 20402334011.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9434030 + ... + 9550370.

It is an arithmetic number, because the mean of its divisors is an integer number (27626571320).

Almost surely, 21104332040200 is an apocalyptic number.

1104332040200 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 1104332040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326075423360).

1104332040200 is an abundant number, since it is smaller than the sum of its proper divisors (1547818806520).

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

1104332040200 is a wasteful number, since it uses less digits than its factorization.

1104332040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117919 (or 117910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1104332040200 its reverse (20402334011), we get a palindrome (1124734374211).

The spelling of 1104332040200 in words is "one trillion, one hundred four billion, three hundred thirty-two million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1531 1550 3062 3100 6124 6200 7655 12248 15310 30620 38275 47461 61240 76550 94922 116341 153100 189844 232682 237305 306200 379688 465364 474610 581705 930728 949220 1163410 1186525 1898440 2326820 2373050 2908525 3606571 4653640 4746100 5817050 7213142 9492200 11634100 14426284 18032855 23268200 28852568 36065710 72131420 90164275 144262840 178118071 180328550 356236142 360657100 712472284 721314200 890590355 1424944568 1781180710 3562361420 4452951775 5521660201 7124722840 8905903550 11043320402 17811807100 22086640804 27608301005 35623614200 44173281608 55216602010 110433204020 138041505025 220866408040 276083010050 552166020100 1104332040200