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11212212 = 22311292101
BaseRepresentation
bin101010110001…
…010110110100
3210002122021010
4222301112310
510332242322
61040152220
7164205444
oct52612664
923078233
1011212212
1163689a0
123908670
13242755b
1416bc124
15eb720c
hexab15b4

11212212 has 72 divisors (see below), whose sum is σ = 29850912. Its totient is φ = 3248000.

The previous prime is 11212171. The next prime is 11212219. The reversal of 11212212 is 21221211.

11212212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212219) 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, 110962 + ... + 111062.

It is an arithmetic number, because the mean of its divisors is an integer number (414596).

Almost surely, 211212212 is an apocalyptic number.

11212212 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 11212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925456).

11212212 is an abundant number, since it is smaller than the sum of its proper divisors (18638700).

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

11212212 is a wasteful number, since it uses less digits than its factorization.

11212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 11212212 is about 3348.4641255358. The cubic root of 11212212 is about 223.8190769108.

Adding to 11212212 its reverse (21221211), we get a palindrome (32433423).

It can be divided in two parts, 1121 and 2212, that added together give a palindrome (3333).

The spelling of 11212212 in words is "eleven million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 116 132 174 202 303 319 348 404 606 638 841 957 1111 1212 1276 1682 1914 2222 2523 2929 3333 3364 3828 4444 5046 5858 6666 8787 9251 10092 11716 13332 17574 18502 27753 32219 35148 37004 55506 64438 84941 96657 111012 128876 169882 193314 254823 339764 386628 509646 934351 1019292 1868702 2803053 3737404 5606106 11212212