Search a number
-
+
20130132220 = 22511232172969
BaseRepresentation
bin10010101111110110…
…010111000011111100
31220221220101200002121
4102233312113003330
5312211303212340
613125254332324
71311562205062
oct225766270374
956856350077
1020130132220
11859aa31310
123a9965a0a4
131b8a63b653
14d8d6bc032
157cc3c394a
hex4afd970fc

20130132220 has 72 divisors (see below), whose sum is σ = 48208814640. Its totient is φ = 7001744640.

The previous prime is 20130132203. The next prime is 20130132221. The reversal of 20130132220 is 2223103102.

It is a junction number, because it is equal to n+sod(n) for n = 20130132194 and 20130132203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130132221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29896 + ... + 202864.

It is an arithmetic number, because the mean of its divisors is an integer number (669566870).

Almost surely, 220130132220 is an apocalyptic number.

20130132220 is a gapful number since it is divisible by the number (20) 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 20130132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24104407320).

20130132220 is an abundant number, since it is smaller than the sum of its proper divisors (28078682420).

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

20130132220 is a wasteful number, since it uses less digits than its factorization.

20130132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173035 (or 173010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20130132220 its reverse (2223103102), we get a palindrome (22353235322).

The spelling of 20130132220 in words is "twenty billion, one hundred thirty million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 529 1012 1058 1265 2116 2530 2645 5060 5290 5819 10580 11638 23276 29095 58190 116380 172969 345938 691876 864845 1729690 1902659 3459380 3805318 3978287 7610636 7956574 9513295 15913148 19026590 19891435 38053180 39782870 43761157 79565740 87522314 91500601 175044628 183001202 218805785 366002404 437611570 457503005 875223140 915006010 1006506611 1830012020 2013013222 4026026444 5032533055 10065066110 20130132220