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2012043234132 = 2232731103694123
BaseRepresentation
bin11101010001110111000…
…111110100101101010100
321010100102202022112101200
4131101313013310231110
5230431131031443012
64140153033152500
7265236210206601
oct35216707645524
97110382275350
102012043234132
11706336a51948
12285b4525b730
13117972655809
146d5521236a8
153751043d3dc
hex1d4771f4b54

2012043234132 has 72 divisors (see below), whose sum is σ = 5160351041664. Its totient is φ = 660892991616.

The previous prime is 2012043234121. The next prime is 2012043234139. The reversal of 2012043234132 is 2314323402102.

2012043234132 is a `hidden beast` number, since 2 + 0 + 1 + 204 + 323 + 4 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2012043234096 and 2012043234105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012043234139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2551623 + ... + 3245745.

Almost surely, 22012043234132 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 2012043234132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580175520832).

2012043234132 is an abundant number, since it is smaller than the sum of its proper divisors (3148307807532).

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

2012043234132 is a wasteful number, since it uses less digits than its factorization.

2012043234132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695309 (or 695304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2012043234132 its reverse (2314323402102), we get a palindrome (4326366636234).

The spelling of 2012043234132 in words is "two trillion, twelve billion, forty-three million, two hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1103 1314 2206 2628 3309 4412 6618 9927 13236 19854 39708 80519 161038 241557 322076 483114 694123 724671 966228 1388246 1449342 2082369 2776492 2898684 4164738 6247107 8329476 12494214 24988428 50670979 101341958 152012937 202683916 304025874 456038811 608051748 765617669 912077622 1531235338 1824155244 2296853007 3062470676 4593706014 6890559021 9187412028 13781118042 27562236084 55890089837 111780179674 167670269511 223560359348 335340539022 503010808533 670681078044 1006021617066 2012043234132