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11132212 = 22721317257
BaseRepresentation
bin101010011101…
…110100110100
3202221120112011
4222131310310
510322212322
61034334004
7163423300
oct52356464
922846464
1011132212
116313883
12388a304
1323ca010
14169ad00
15e9d677
hexa9dd34

11132212 has 72 divisors (see below), whose sum is σ = 25941384. Its totient is φ = 4128768.

The previous prime is 11132183. The next prime is 11132213. The reversal of 11132212 is 21223111.

It can be written as a sum of positive squares in 4 ways, for example, as 4351396 + 6780816 = 2086^2 + 2604^2 .

It is a super-2 number, since 2×111322122 = 247852288025888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11132192 and 11132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132213) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43188 + ... + 43444.

It is an arithmetic number, because the mean of its divisors is an integer number (360297).

Almost surely, 211132212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970692).

11132212 is an abundant number, since it is smaller than the sum of its proper divisors (14809172).

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

11132212 is a wasteful number, since it uses less digits than its factorization.

11132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 11132212 is about 3336.4969653815. The cubic root of 11132212 is about 223.2854836723.

Adding to 11132212 its reverse (21223111), we get a palindrome (32355323).

It can be divided in two parts, 111 and 32212, that added together give a palindrome (32323).

The spelling of 11132212 in words is "eleven million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 257 364 442 476 514 637 833 884 1028 1274 1547 1666 1799 2548 3094 3332 3341 3598 4369 6188 6682 7196 8738 10829 12593 13364 17476 21658 23387 25186 30583 43316 46774 50372 56797 61166 93548 113594 122332 163709 214081 227188 327418 397579 428162 654836 795158 856324 1590316 2783053 5566106 11132212