Search a number
-
+
2113001220 = 2235112594933
BaseRepresentation
bin111110111110001…
…1101011100000100
312110020222120202110
41331330131130010
513311412014340
6545400541020
7103235133261
oct17574353404
95406876673
102113001220
11994809100
124ab781770
132789c07a5
141608b2268
15c5784680
hex7df1d704

2113001220 has 144 divisors (see below), whose sum is σ = 6614717760. Its totient is φ = 503458560.

The previous prime is 2113001207. The next prime is 2113001309. The reversal of 2113001220 is 221003112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2113001196 and 2113001205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425874 + ... + 430806.

It is an arithmetic number, because the mean of its divisors is an integer number (45935540).

Almost surely, 22113001220 is an apocalyptic number.

2113001220 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 2113001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307358880).

2113001220 is an abundant number, since it is smaller than the sum of its proper divisors (4501716540).

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

2113001220 is a wasteful number, since it uses less digits than its factorization.

2113001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2113001220 is about 45967.3930085229. The cubic root of 2113001220 is about 1283.2164428683.

Adding to 2113001220 its reverse (221003112), we get a palindrome (2334004332).

The spelling of 2113001220 in words is "two billion, one hundred thirteen million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 121 132 165 177 220 236 242 295 330 354 363 484 590 605 649 660 708 726 885 1180 1210 1298 1452 1770 1815 1947 2420 2596 3245 3540 3630 3894 4933 6490 7139 7260 7788 9735 9866 12980 14278 14799 19470 19732 21417 24665 28556 29598 35695 38940 42834 49330 54263 59196 71390 73995 85668 98660 107085 108526 142780 147990 162789 214170 217052 271315 291047 295980 325578 428340 542630 582094 596893 651156 813945 873141 1085260 1164188 1193786 1455235 1627890 1746282 1790679 2387572 2910470 2984465 3201517 3255780 3492564 3581358 4365705 5820940 5968930 6403034 7162716 8731410 8953395 9604551 11937860 12806068 16007585 17462820 17906790 19209102 32015170 35216687 35813580 38418204 48022755 64030340 70433374 96045510 105650061 140866748 176083435 192091020 211300122 352166870 422600244 528250305 704333740 1056500610 2113001220