Search a number
-
+
113330310210 = 232513297132603
BaseRepresentation
bin110100110001100000…
…0110100110001000010
3101211112011222021010200
41221203000310301002
53324100024411320
6124021353510030
711121300512445
oct1514300646102
9354464867120
10113330310210
11440770074a7
1219b6a112316
13a8c1462470
1456b160d65c
152e34686290
hex1a63034c42

113330310210 has 96 divisors (see below), whose sum is σ = 317441412288. Its totient is φ = 27886446720.

The previous prime is 113330310151. The next prime is 113330310217. The reversal of 113330310210 is 12013033311.

It is a happy number.

113330310210 is a `hidden beast` number, since 1 + 1 + 3 + 330 + 310 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113330310217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3459769 + ... + 3492371.

It is an arithmetic number, because the mean of its divisors is an integer number (3306681378).

Almost surely, 2113330310210 is an apocalyptic number.

113330310210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113330310210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158720706144).

113330310210 is an abundant number, since it is smaller than the sum of its proper divisors (204111102078).

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

113330310210 is a wasteful number, since it uses less digits than its factorization.

113330310210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35600 (or 35597 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113330310210 its reverse (12013033311), we get a palindrome (125343343521).

The spelling of 113330310210 in words is "one hundred thirteen billion, three hundred thirty million, three hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2971 5942 8913 14855 17826 26739 29710 32603 38623 44565 53478 65206 77246 89130 97809 115869 133695 163015 193115 195618 231738 267390 293427 326030 347607 386230 423839 489045 579345 586854 695214 847678 978090 1158690 1271517 1467135 1738035 2119195 2543034 2934270 3476070 3814551 4238390 6357585 7629102 12715170 19072755 38145510 96863513 193727026 290590539 484317565 581181078 871771617 968635130 1259225669 1452952695 1743543234 2518451338 2905905390 3777677007 4358858085 6296128345 7555354014 8717716170 11333031021 12592256690 18888385035 22666062042 37776770070 56665155105 113330310210