Search a number
-
+
21013122 = 23132172353
BaseRepresentation
bin101000000101…
…0001010000010
31110112120120210
41100022022002
520334404442
62030214550
7343415514
oct120121202
943476523
1021013122
1110952519
127054456
134479600
142b0dbb4
151ca119c
hex140a282

21013122 has 96 divisors (see below), whose sum is σ = 51228288. Its totient is φ = 5710848.

The previous prime is 21013117. The next prime is 21013127. The reversal of 21013122 is 22131012.

It is an interprime number because it is at equal distance from previous prime (21013117) and next prime (21013127).

It is a junction number, because it is equal to n+sod(n) for n = 21013098 and 21013107.

It is not an unprimeable number, because it can be changed into a prime (21013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396448 + ... + 396500.

It is an arithmetic number, because the mean of its divisors is an integer number (533628).

Almost surely, 221013122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25614144).

21013122 is an abundant number, since it is smaller than the sum of its proper divisors (30215166).

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

21013122 is a wasteful number, since it uses less digits than its factorization.

21013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

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

The square root of 21013122 is about 4584.0071989472. The cubic root of 21013122 is about 275.9498701225.

Adding to 21013122 its reverse (22131012), we get a palindrome (43144134).

The spelling of 21013122 in words is "twenty-one million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 53 69 78 102 106 138 159 169 221 299 318 338 391 442 507 598 663 689 782 897 901 1014 1173 1219 1326 1378 1794 1802 2067 2346 2438 2703 2873 3657 3887 4134 5083 5406 5746 7314 7774 8619 8957 10166 11661 11713 15249 15847 17238 17914 20723 23322 23426 26871 30498 31694 35139 41446 47541 53742 62169 66079 70278 95082 124338 132158 152269 198237 206011 269399 304538 396474 412022 456807 538798 618033 808197 913614 1236066 1616394 3502187 7004374 10506561 21013122