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10012332 = 22311101751
BaseRepresentation
bin100110001100…
…011010101100
3200211200100010
4212030122230
510030343312
6554333220
7151050321
oct46143254
920750303
1010012332
115719460
12342a210
1320c7375
141488b48
15d2b93c
hex98c6ac

10012332 has 48 divisors (see below), whose sum is σ = 25772544. Its totient is φ = 3000000.

The previous prime is 10012313. The next prime is 10012333. The reversal of 10012332 is 23321001.

It is a happy number.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10012333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12957 + ... + 13707.

It is an arithmetic number, because the mean of its divisors is an integer number (536928).

Almost surely, 210012332 is an apocalyptic number.

10012332 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 10012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886272).

10012332 is an abundant number, since it is smaller than the sum of its proper divisors (15760212).

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

10012332 is a wasteful number, since it uses less digits than its factorization.

10012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10012332 is about 3164.2269198021. The cubic root of 10012332 is about 215.5319942520.

Adding to 10012332 its reverse (23321001), we get a palindrome (33333333).

It can be divided in two parts, 1001 and 2332, that multiplied together give a palindrome (2334332).

The spelling of 10012332 in words is "ten million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 751 1111 1212 1502 2222 2253 3004 3333 4444 4506 6666 8261 9012 13332 16522 24783 33044 49566 75851 99132 151702 227553 303404 455106 834361 910212 1668722 2503083 3337444 5006166 10012332