Base | Representation |
---|---|
bin | 11110111000101011101… |
… | …010101000111011100100 |
3 | 21111220101221102121021100 |
4 | 132320223222220323210 |
5 | 234233232242122322 |
6 | 4303012145120100 |
7 | 306225126043035 |
oct | 36705352507344 |
9 | 7456357377240 |
10 | 2122446442212 |
11 | 749140759178 |
12 | 2a3417029030 |
13 | 1251b8548285 |
14 | 74a26aa4a8c |
15 | 3a322b2edac |
hex | 1ee2baa8ee4 |
2122446442212 has 36 divisors (see below), whose sum is σ = 5365125875200. Its totient is φ = 707475168432.
The previous prime is 2122446442201. The next prime is 2122446442213.
2122446442212 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 4 + 644 + 2 + 2 + 1 + 2 = 666.
2122446442212 is nontrivially palindromic in base 10.
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 (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2122446442213) 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 11 ways as a sum of consecutive naturals, for example, 4482789 + ... + 4933587.
Almost surely, 22122446442212 is an apocalyptic number.
It is an amenable number.
2122446442212 is an abundant number, since it is smaller than the sum of its proper divisors (3242679432988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122446442212 is a wasteful number, since it uses less digits than its factorization.
2122446442212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 581592 (or 581587 counting only the distinct ones).
The product of its digits is 98304, while the sum is 36.
The spelling of 2122446442212 in words is "two trillion, one hundred twenty-two billion, four hundred forty-six million, four hundred forty-two thousand, two hundred twelve".
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