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11013132020 = 22511225118131
BaseRepresentation
bin10100100000110111…
…10000111011110100
31001102112011001222112
422100123300323310
5140023330211040
65020453350152
7536626035422
oct122033607364
931375131875
1011013132020
114741698100
122174338358
131066874987
1476692c112
15446cd5365
hex2906f0ef4

11013132020 has 72 divisors (see below), whose sum is σ = 25523908704. Its totient is φ = 3988600000.

The previous prime is 11013131989. The next prime is 11013132043. The reversal of 11013132020 is 2023131011.

11013132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11013131986 and 11013132004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598355 + ... + 616485.

It is an arithmetic number, because the mean of its divisors is an integer number (354498732).

Almost surely, 211013132020 is an apocalyptic number.

11013132020 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 11013132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761954352).

11013132020 is an abundant number, since it is smaller than the sum of its proper divisors (14510776684).

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

11013132020 is a wasteful number, since it uses less digits than its factorization.

11013132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18400 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11013132020 its reverse (2023131011), we get a palindrome (13036263031).

The spelling of 11013132020 in words is "eleven billion, thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 251 484 502 605 1004 1210 1255 2420 2510 2761 5020 5522 11044 13805 18131 27610 30371 36262 55220 60742 72524 90655 121484 151855 181310 199441 303710 362620 398882 607420 797764 997205 1994410 2193851 3988820 4387702 4550881 8775404 9101762 10969255 18203524 21938510 22754405 43877020 45508810 50059691 91017620 100119382 200238764 250298455 500596910 550656601 1001193820 1101313202 2202626404 2753283005 5506566010 11013132020