Search a number
-
+
2013131220 = 223573459619
BaseRepresentation
bin111011111111101…
…1111000111010100
312012022001122212120
41313333133013110
513110330144340
6531432215540
7100613222142
oct16777370724
95168048776
102013131220
119433a6311
1248223a5b0
132610c4209
14151516592
15bbb084d0
hex77fdf1d4

2013131220 has 48 divisors (see below), whose sum is σ = 5713995840. Its totient is φ = 529479936.

The previous prime is 2013131209. The next prime is 2013131221. The reversal of 2013131220 is 221313102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013131220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013131221) 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, 225430 + ... + 234189.

It is an arithmetic number, because the mean of its divisors is an integer number (119041580).

Almost surely, 22013131220 is an apocalyptic number.

2013131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013131220 is an abundant number, since it is smaller than the sum of its proper divisors (3700864620).

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

2013131220 is a wasteful number, since it uses less digits than its factorization.

2013131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459704 (or 459702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013131220 is about 44867.9308638141. The cubic root of 2013131220 is about 1262.6724205908.

Adding to 2013131220 its reverse (221313102), we get a palindrome (2234444322).

The spelling of 2013131220 in words is "two billion, thirteen million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 459619 919238 1378857 1838476 2298095 2757714 4596190 5515428 6894285 9192380 13788570 27577140 33552187 67104374 100656561 134208748 167760935 201313122 335521870 402626244 503282805 671043740 1006565610 2013131220