Search a number
-
+
3113300220 = 2235297332441
BaseRepresentation
bin1011100110010001…
…0011000011111100
322000222020001000120
42321210103003330
522334001101340
61232532454540
7140102421012
oct27144230374
98028201016
103113300220
111358416598
1272a77a450
133a8003aa4
1421769a8b2
151334c44d0
hexb99130fc

3113300220 has 96 divisors (see below), whose sum is σ = 9033837120. Its totient is φ = 800163840.

The previous prime is 3113300207. The next prime is 3113300231. The reversal of 3113300220 is 220033113.

3113300220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31133002203 (a number of 29 digits) contains 333 as substring.

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 3113300220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274200 + ... + 1276640.

It is an arithmetic number, because the mean of its divisors is an integer number (94102470).

Almost surely, 23113300220 is an apocalyptic number.

3113300220 is a gapful number since it is divisible by the number (30) 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 3113300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516918560).

3113300220 is an abundant number, since it is smaller than the sum of its proper divisors (5920536900).

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

3113300220 is a wasteful number, since it uses less digits than its factorization.

3113300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3113300220 is about 55796.9552932774. The cubic root of 3113300220 is about 1460.1820345993.

Adding to 3113300220 its reverse (220033113), we get a palindrome (3333333333).

The spelling of 3113300220 in words is "three billion, one hundred thirteen million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 733 870 1466 1740 2199 2441 2932 3665 4398 4882 7323 7330 8796 9764 10995 12205 14646 14660 21257 21990 24410 29292 36615 42514 43980 48820 63771 70789 73230 85028 106285 127542 141578 146460 212367 212570 255084 283156 318855 353945 424734 425140 637710 707890 849468 1061835 1275420 1415780 1789253 2123670 3578506 4247340 5367759 7157012 8946265 10735518 17892530 21471036 26838795 35785060 51888337 53677590 103776674 107355180 155665011 207553348 259441685 311330022 518883370 622660044 778325055 1037766740 1556650110 3113300220