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11212020 = 22365769
BaseRepresentation
bin101010110001…
…010011110100
3210002122000000
4222301103310
510332241040
61040151300
7164205051
oct52612364
923078000
1011212020
116368836
123908530
132427441
1416bc028
15eb7130
hexab14f4

11212020 has 84 divisors (see below), whose sum is σ = 35347620. Its totient is φ = 2985984.

The previous prime is 11212013. The next prime is 11212037. The reversal of 11212020 is 2021211.

11212020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 7001316 = 2052^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11211993 and 11212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14196 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (420805).

Almost surely, 211212020 is an apocalyptic number.

11212020 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 11212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673810).

11212020 is an abundant number, since it is smaller than the sum of its proper divisors (24135600).

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

11212020 is an equidigital number, since it uses as much as digits as its factorization.

11212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11212020 is about 3348.4354555523. The cubic root of 11212020 is about 223.8177993304.

Adding to 11212020 its reverse (2021211), we get a palindrome (13233231).

The spelling of 11212020 in words is "eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 769 810 972 1215 1458 1538 1620 2307 2430 2916 3076 3645 3845 4614 4860 6921 7290 7690 9228 11535 13842 14580 15380 20763 23070 27684 34605 41526 46140 62289 69210 83052 103815 124578 138420 186867 207630 249156 311445 373734 415260 560601 622890 747468 934335 1121202 1245780 1868670 2242404 2803005 3737340 5606010 11212020