Base | Representation |
---|---|
bin | 11101010010000111001… |
… | …001110110001101100000 |
3 | 21010101010111102102020200 |
4 | 131102013021312031200 |
5 | 230432203410400112 |
6 | 4140235442105200 |
7 | 265245654323001 |
oct | 35220711661540 |
9 | 7111114372220 |
10 | 2012312200032 |
11 | 706464859a12 |
12 | 285bbb34b200 |
13 | 1179b62a8a34 |
14 | 6d579b391a8 |
15 | 37528d6bcdc |
hex | 1d487276360 |
2012312200032 has 72 divisors (see below), whose sum is σ = 5971317743664. Its totient is φ = 641606786304.
The previous prime is 2012312200021. The next prime is 2012312200033. The reversal of 2012312200032 is 2300022132102.
2012312200032 is a `hidden beast` number, since 201 + 231 + 2 + 200 + 0 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2012312199978 and 2012312200014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2012312200033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151888923 + ... + 151902170.
It is an arithmetic number, because the mean of its divisors is an integer number (82934968662).
Almost surely, 22012312200032 is an apocalyptic number.
It is an amenable number.
2012312200032 is an abundant number, since it is smaller than the sum of its proper divisors (3959005543632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2012312200032 is a wasteful number, since it uses less digits than its factorization.
2012312200032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303791132 (or 303791121 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2012312200032 its reverse (2300022132102), we get a palindrome (4312334332134).
The spelling of 2012312200032 in words is "two trillion, twelve billion, three hundred twelve million, two hundred thousand, thirty-two".
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