Search a number
-
+
3113355300 = 22352111019341
BaseRepresentation
bin1011100110010010…
…0000100000100100
322000222022211120120
42321210200200210
522334004332200
61232534001540
7140103040416
oct27144404044
98028284516
103113355300
111358453a10
1272a7a62b0
133a8022b93
142176b29b6
151334d59a0
hexb9920824

3113355300 has 144 divisors (see below), whose sum is σ = 9925239744. Its totient is φ = 747200000.

The previous prime is 3113355293. The next prime is 3113355313. The reversal of 3113355300 is 35533113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328630 + ... + 337970.

It is an arithmetic number, because the mean of its divisors is an integer number (68925276).

Almost surely, 23113355300 is an apocalyptic number.

3113355300 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 3113355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962619872).

3113355300 is an abundant number, since it is smaller than the sum of its proper divisors (6811884444).

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

3113355300 is a wasteful number, since it uses less digits than its factorization.

3113355300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 3113355300 is about 55797.4488664132. The cubic root of 3113355300 is about 1460.1906456494.

Adding to 3113355300 its reverse (35533113), we get a palindrome (3148888413).

It can be divided in two parts, 31 and 13355300, that added together give a palindrome (13355331).

The spelling of 3113355300 in words is "three billion, one hundred thirteen million, three hundred fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 9341 10100 11110 13332 15150 16665 18682 22220 27775 28023 30300 33330 37364 46705 55550 56046 66660 83325 93410 102751 111100 112092 140115 166650 186820 205502 233525 280230 308253 333300 411004 467050 513755 560460 616506 700575 934100 943441 1027510 1233012 1401150 1541265 1886882 2055020 2568775 2802300 2830323 3082530 3773764 4717205 5137550 5660646 6165060 7706325 9434410 10275100 10377851 11321292 14151615 15412650 18868820 20755702 23586025 28303230 30825300 31133553 41511404 47172050 51889255 56606460 62267106 70758075 94344100 103778510 124534212 141516150 155667765 207557020 259446275 283032300 311335530 518892550 622671060 778338825 1037785100 1556677650 3113355300