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11230201020 = 22351739727733
BaseRepresentation
bin10100111010101111…
…10100010010111100
31001222122121022200010
422131113310102330
5140444412413040
65054210103220
7545203063563
oct123527642274
931878538603
1011230201020
114843179275
122214b7ab10
13109c82727c
147876b4bda
1545adb1e80
hex29d5f44bc

11230201020 has 96 divisors (see below), whose sum is σ = 33379311168. Its totient is φ = 2811359232.

The previous prime is 11230201013. The next prime is 11230201033. The reversal of 11230201020 is 2010203211.

It is a super-2 number, since 2×112302010202 (a number of 21 digits) contains 22 as substring.

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 = 11230200987 and 11230201005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391074 + ... + 418806.

It is an arithmetic number, because the mean of its divisors is an integer number (347701158).

Almost surely, 211230201020 is an apocalyptic number.

11230201020 is a gapful number since it is divisible by the number (10) 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 11230201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689655584).

11230201020 is an abundant number, since it is smaller than the sum of its proper divisors (22149110148).

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

11230201020 is a wasteful number, since it uses less digits than its factorization.

11230201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28159 (or 28157 counting only the distinct ones).

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

Adding to 11230201020 its reverse (2010203211), we get a palindrome (13240404231).

The spelling of 11230201020 in words is "eleven billion, two hundred thirty million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 397 510 794 1020 1191 1588 1985 2382 3970 4764 5955 6749 7940 11910 13498 20247 23820 26996 27733 33745 40494 55466 67490 80988 83199 101235 110932 134980 138665 166398 202470 277330 332796 404940 415995 471461 554660 831990 942922 1414383 1663980 1885844 2357305 2828766 4714610 5657532 7071915 9429220 11010001 14143830 22020002 28287660 33030003 44040004 55050005 66060006 110100010 132120012 165150015 187170017 220200020 330300030 374340034 561510051 660600060 748680068 935850085 1123020102 1871700170 2246040204 2807550255 3743400340 5615100510 11230201020