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1102212 = 2232171801
BaseRepresentation
bin100001101000110000100
32001222221200
410031012010
5240232322
635342500
712240306
oct4150604
92058850
101102212
11693121
12451a30
132c78c7
14209976
1516b8ac
hex10d184

1102212 has 36 divisors (see below), whose sum is σ = 2951676. Its totient is φ = 345600.

The previous prime is 1102201. The next prime is 1102237. The reversal of 1102212 is 2122011.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 617796 = 696^2 + 786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1102194 and 1102203.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 289 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (81991).

21102212 is an apocalyptic number.

1102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102212 is an abundant number, since it is smaller than the sum of its proper divisors (1849464).

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

1102212 is a wasteful number, since it uses less digits than its factorization.

1102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1102212 is about 1049.8628481854. The cubic root of 1102212 is about 103.2971592654.

Adding to 1102212 its reverse (2122011), we get a palindrome (3224223).

The spelling of 1102212 in words is "one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1801 3602 5403 7204 10806 16209 21612 30617 32418 61234 64836 91851 122468 183702 275553 367404 551106 1102212