Search a number
-
+
111104240324 = 22731119387463
BaseRepresentation
bin110011101111001010…
…1000010101011000100
3101121210001020012022212
41213132111002223010
53310020141142244
6123012433242552
711012160314000
oct1473625025304
9347701205285
10111104240324
11431344a1220
1219648703458
13a62820394c
14553db07700
152d54019d9e
hex19de542ac4

111104240324 has 96 divisors (see below), whose sum is σ = 260375808000. Its totient is φ = 41008978080.

The previous prime is 111104240323. The next prime is 111104240363. The reversal of 111104240324 is 423042401111.

111104240324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 111104240324.

It is not an unprimeable number, because it can be changed into a prime (111104240323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93017 + ... + 480479.

It is an arithmetic number, because the mean of its divisors is an integer number (2712248000).

Almost surely, 2111104240324 is an apocalyptic number.

111104240324 is a gapful number since it is divisible by the number (14) 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 111104240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130187904000).

111104240324 is an abundant number, since it is smaller than the sum of its proper divisors (149271567676).

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

111104240324 is a wasteful number, since it uses less digits than its factorization.

111104240324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387518 (or 387502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 111104240324 its reverse (423042401111), we get a palindrome (534146641435).

The spelling of 111104240324 in words is "one hundred eleven billion, one hundred four million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 343 418 532 539 686 836 931 1078 1372 1463 1862 2156 2926 3724 3773 5852 6517 7546 10241 13034 15092 20482 26068 40964 71687 143374 286748 387463 774926 1549852 2712241 4262093 5424482 7361797 8524186 10848964 14723594 17048372 18985687 29447188 29834651 37971374 51532579 59669302 75942748 80979767 103065158 119338604 132899809 161959534 206130316 208842557 265799618 323919068 360728053 417685114 531599236 566858369 721456106 835370228 1133716738 1442912212 1461897899 2267433476 2525096371 2923795798 3968008583 5050192742 5847591596 7936017166 10100385484 15872034332 27776060081 55552120162 111104240324