Search a number
-
+
110102230304 = 25112513114007
BaseRepresentation
bin110011010001010011…
…0101011010100100000
3101112012012202210222122
41212202212223110200
53300442132332204
6122325200523412
710645302341663
oct1464246532440
9345165683878
10110102230304
114276a925270
1219409020568
13a4c8741901
1454869d56da
152ce608d0be
hex19a29ab520

110102230304 has 96 divisors (see below), whose sum is σ = 238234493952. Its totient is φ = 49674400000.

The previous prime is 110102230267. The next prime is 110102230309. The reversal of 110102230304 is 403032201011.

It is a super-2 number, since 2×1101022303042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110102230309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27475469 + ... + 27479475.

It is an arithmetic number, because the mean of its divisors is an integer number (2481609312).

Almost surely, 2110102230304 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 110102230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119117246976).

110102230304 is an abundant number, since it is smaller than the sum of its proper divisors (128132263648).

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

110102230304 is a wasteful number, since it uses less digits than its factorization.

110102230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 110102230304 its reverse (403032201011), we get a palindrome (513134431315).

The spelling of 110102230304 in words is "one hundred ten billion, one hundred two million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 251 311 352 502 622 1004 1244 2008 2488 2761 3421 4007 4016 4976 5522 6842 8014 8032 9952 11044 13684 16028 22088 27368 32056 44077 44176 54736 64112 78061 88154 88352 109472 128224 156122 176308 312244 352616 624488 705232 858671 1005757 1246177 1248976 1410464 1717342 2011514 2492354 2497952 3434684 4023028 4984708 6869368 8046056 9969416 11063327 13707947 13738736 16092112 19938832 22126654 27415894 27477472 32184224 39877664 44253308 54831788 88506616 109663576 177013232 219327152 312790427 354026464 438654304 625580854 1251161708 2502323416 3440694697 5004646832 6881389394 10009293664 13762778788 27525557576 55051115152 110102230304