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132214012 = 227412532
BaseRepresentation
bin1111110000101…
…10110011111100
3100012210011112021
413320112303330
5232321322022
621041445524
73163541410
oct770266374
9305704467
10132214012
11686a4387
12383408a4
1321512458
14137b8d40
15b9197c7
hex7e16cfc

132214012 has 54 divisors (see below), whose sum is σ = 276245144. Its totient is φ = 54238080.

The previous prime is 132214001. The next prime is 132214013. The reversal of 132214012 is 210412231.

It is a super-2 number, since 2×1322140122 = 34961089938272288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2494578 + ... + 2494630.

Almost surely, 2132214012 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 132214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138122572).

132214012 is an abundant number, since it is smaller than the sum of its proper divisors (144031132).

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

132214012 is an equidigital number, since it uses as much as digits as its factorization.

132214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132214012 is about 11498.4351978867. The cubic root of 132214012 is about 509.4393582826.

Adding to 132214012 its reverse (210412231), we get a palindrome (342626243).

The spelling of 132214012 in words is "one hundred thirty-two million, two hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 28 41 53 82 106 164 212 287 371 574 742 1148 1484 1681 2173 2809 3362 4346 5618 6724 8692 11236 11767 15211 19663 23534 30422 39326 47068 60844 78652 89093 115169 178186 230338 356372 460676 623651 806183 1247302 1612366 2494604 3224732 4721929 9443858 18887716 33053503 66107006 132214012