Search a number
-
+
110320233320332 = 22721639073807187
BaseRepresentation
bin11001000101010111101110…
…010100011000111110001100
3112110121111210202000222102201
4121011113232110120332030
5103424441314212222312
61030344225431131244
732144242140031300
oct3105275624307614
9473544722028381
10110320233320332
1132173603737532
1210458972b13b24
1349731cbc2a359
141d35756341d00
15cb4a38379557
hex6455ee518f8c

110320233320332 has 72 divisors (see below), whose sum is σ = 226207455802944. Its totient is φ = 46938217501728.

The previous prime is 110320233320287. The next prime is 110320233320351. The reversal of 110320233320332 is 233023332023011.

110320233320332 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 110320233320332.

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, 27073243 + ... + 30880429.

Almost surely, 2110320233320332 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 110320233320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113103727901472).

110320233320332 is an abundant number, since it is smaller than the sum of its proper divisors (115887222482612).

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

110320233320332 is a wasteful number, since it uses less digits than its factorization.

110320233320332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808275 (or 3808266 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 110320233320332 its reverse (233023332023011), we get a palindrome (343343565343343).

The spelling of 110320233320332 in words is "one hundred ten trillion, three hundred twenty billion, two hundred thirty-three million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 163 196 326 652 907 1141 1814 2282 3628 4564 6349 7987 12698 15974 25396 31948 44443 88886 147841 177772 295682 591364 1034887 2069774 3807187 4139548 7244209 7614374 14488418 15228748 26650309 28976836 53300618 106601236 186552163 373104326 620571481 746208652 1241142962 2482285924 3453118609 4344000367 6906237218 8688000734 13812474436 17376001468 24171830263 30408002569 48343660526 60816005138 96687321052 121632010276 169202811841 338405623682 562858333267 676811247364 1125716666534 2251433333068 3940008332869 7880016665738 15760033331476 27580058330083 55160116660166 110320233320332