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11125205130 = 23513711313067
BaseRepresentation
bin10100101110001110…
…10010100010001010
31001201100000222101110
422113013102202022
5140241023031010
65035535431150
7542456453244
oct122707224212
931640028343
1011125205130
114799985306
1221a59854b6
131083b54820
14777783094
15451a72120
hex2971d288a

11125205130 has 128 divisors (see below), whose sum is σ = 29391538176. Its totient is φ = 2678457600.

The previous prime is 11125205107. The next prime is 11125205131. The reversal of 11125205130 is 3150252111.

It is a junction number, because it is equal to n+sod(n) for n = 11125205097 and 11125205106.

It is not an unprimeable number, because it can be changed into a prime (11125205131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3625857 + ... + 3628923.

It is an arithmetic number, because the mean of its divisors is an integer number (229621392).

Almost surely, 211125205130 is an apocalyptic number.

11125205130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125205130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695769088).

11125205130 is an abundant number, since it is smaller than the sum of its proper divisors (18266333046).

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

11125205130 is a wasteful number, since it uses less digits than its factorization.

11125205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 11125205130 its reverse (3150252111), we get a palindrome (14275457241).

The spelling of 11125205130 in words is "eleven billion, one hundred twenty-five million, two hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 131 142 195 213 262 355 390 393 426 655 710 786 923 1065 1310 1703 1846 1965 2130 2769 3067 3406 3930 4615 5109 5538 6134 8515 9201 9230 9301 10218 13845 15335 17030 18402 18602 25545 27690 27903 30670 39871 46005 46505 51090 55806 79742 92010 93010 119613 120913 139515 199355 217757 239226 241826 279030 362739 398710 401777 435514 598065 604565 653271 725478 803554 1088785 1196130 1205331 1209130 1306542 1813695 2008885 2177570 2410662 2830841 3266355 3627390 4017770 5223101 5661682 6026655 6532710 8492523 10446202 12053310 14154205 15669303 16985046 26115505 28308410 28526167 31338606 42462615 52231010 57052334 78346515 84925230 85578501 142630835 156693030 171157002 285261670 370840171 427892505 741680342 855785010 1112520513 1854200855 2225041026 3708401710 5562602565 11125205130