Search a number
-
+
104033404112 = 24112774434817
BaseRepresentation
bin110000011100011011…
…1111100010011010000
3100221112021012111112012
41200320313330103100
53201030022412422
6115443044522052
710342021226111
oct1407067742320
9327467174465
10104033404112
1140136165330
12181b46b0328
139a6c3286b1
14506c9cc208
152a8d3ac4e2
hex1838dfc4d0

104033404112 has 80 divisors (see below), whose sum is σ = 221226679872. Its totient is φ = 47001077760.

The previous prime is 104033404093. The next prime is 104033404133. The reversal of 104033404112 is 211404330401.

It is a super-2 number, since 2×1040334041122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 21594728 + ... + 21599544.

Almost surely, 2104033404112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104033404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110613339936).

104033404112 is an abundant number, since it is smaller than the sum of its proper divisors (117193275760).

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

104033404112 is a wasteful number, since it uses less digits than its factorization.

104033404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 104033404112 its reverse (211404330401), we get a palindrome (315437734513).

The spelling of 104033404112 in words is "one hundred four billion, thirty-three million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 277 443 554 886 1108 1772 2216 3047 3544 4432 4817 4873 6094 7088 9634 9746 12188 19268 19492 24376 38536 38984 48752 52987 77072 77968 105974 122711 211948 245422 423896 490844 847792 981688 1334309 1349821 1963376 2133931 2668618 2699642 4267862 5337236 5399284 8535724 10674472 10798568 14677399 17071448 21348944 21597136 23473241 29354798 34142896 46946482 58709596 93892964 117419192 187785928 234838384 375571856 591098887 1182197774 2364395548 4728791096 6502087757 9457582192 13004175514 26008351028 52016702056 104033404112