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1012212 = 223231907
BaseRepresentation
bin11110111000111110100
31220102111100
43313013310
5224342322
633410100
711414025
oct3670764
91812440
101012212
11631543
12409930
13295956
141c4c4c
1514edac
hexf71f4

1012212 has 36 divisors (see below), whose sum is σ = 2644096. Its totient is φ = 326160.

The previous prime is 1012201. The next prime is 1012213. The reversal of 1012212 is 2122101.

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1012194 and 1012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012213) 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 11 ways as a sum of consecutive naturals, for example, 663 + ... + 1569.

21012212 is an apocalyptic number.

1012212 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 1012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322048).

1012212 is an abundant number, since it is smaller than the sum of its proper divisors (1631884).

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

1012212 is a wasteful number, since it uses less digits than its factorization.

1012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 943 counting only the distinct ones).

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

The square root of 1012212 is about 1006.0874713463. The cubic root of 1012212 is about 100.4054207853.

Adding to 1012212 its reverse (2122101), we get a palindrome (3134313).

The spelling of 1012212 in words is "one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 907 1116 1814 2721 3628 5442 8163 10884 16326 28117 32652 56234 84351 112468 168702 253053 337404 506106 1012212