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11314212 = 2237132797
BaseRepresentation
bin101011001010…
…010000100100
3210021211011220
4223022100210
510344023322
61042300340
7165112020
oct53122044
923254156
1011314212
116428598
1239576b0
132461b00
141707380
15ed755c
hexaca424

11314212 has 72 divisors (see below), whose sum is σ = 32711616. Its totient is φ = 2980224.

The previous prime is 11314207. The next prime is 11314213. The reversal of 11314212 is 21241311.

It is a super-2 number, since 2×113142122 = 256022786361888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11314191 and 11314200.

It is not an unprimeable number, because it can be changed into a prime (11314213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13798 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (454328).

Almost surely, 211314212 is an apocalyptic number.

11314212 is a gapful number since it is divisible by the number (12) 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 11314212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355808).

11314212 is an abundant number, since it is smaller than the sum of its proper divisors (21397404).

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

11314212 is a wasteful number, since it uses less digits than its factorization.

11314212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 822 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 11314212 is about 3363.6605060559. The cubic root of 11314212 is about 224.4957398543.

Adding to 11314212 its reverse (21241311), we get a palindrome (32555523).

The spelling of 11314212 in words is "eleven million, three hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 797 1014 1092 1183 1594 2028 2366 2391 3188 3549 4732 4782 5579 7098 9564 10361 11158 14196 16737 20722 22316 31083 33474 41444 62166 66948 72527 124332 134693 145054 217581 269386 290108 404079 435162 538772 808158 870324 942851 1616316 1885702 2828553 3771404 5657106 11314212