Search a number
-
+
21131220 = 223511101317
BaseRepresentation
bin101000010011…
…0111111010100
31110202120120210
41100212333110
520402144340
62032525420
7344420025
oct120467724
943676523
1021131220
1110a23220
1270b0870
1344bb2a6
142b40c4c
151cc6180
hex1426fd4

21131220 has 96 divisors (see below), whose sum is σ = 65390976. Its totient is φ = 5056000.

The previous prime is 21131191. The next prime is 21131251. The reversal of 21131220 is 2213112.

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 = 21131196 and 21131205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66502 + ... + 66818.

It is an arithmetic number, because the mean of its divisors is an integer number (681156).

Almost surely, 221131220 is an apocalyptic number.

21131220 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 21131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32695488).

21131220 is an abundant number, since it is smaller than the sum of its proper divisors (44259756).

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

21131220 is a wasteful number, since it uses less digits than its factorization.

21131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

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

The square root of 21131220 is about 4596.8706747090. The cubic root of 21131220 is about 276.4658693662.

Adding to 21131220 its reverse (2213112), we get a palindrome (23344332).

It can be divided in two parts, 2113 and 1220, that added together give a palindrome (3333).

The spelling of 21131220 in words is "twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 317 330 404 505 606 634 660 951 1010 1111 1212 1268 1515 1585 1902 2020 2222 3030 3170 3333 3487 3804 4444 4755 5555 6060 6340 6666 6974 9510 10461 11110 13332 13948 16665 17435 19020 20922 22220 32017 33330 34870 41844 52305 64034 66660 69740 96051 104610 128068 160085 192102 209220 320170 352187 384204 480255 640340 704374 960510 1056561 1408748 1760935 1921020 2113122 3521870 4226244 5282805 7043740 10565610 21131220