Base | Representation |
---|---|
bin | 11110111001011111111… |
… | …111001001010111111100 |
3 | 21111222200010011000011010 |
4 | 132321133333021113330 |
5 | 234242032000430322 |
6 | 4303235223155220 |
7 | 306255645122340 |
oct | 36713777112774 |
9 | 7458603130133 |
10 | 2123324233212 |
11 | 7495511a1586 |
12 | 2a3620ba5b10 |
13 | 1252c8366c30 |
14 | 74aab4bd620 |
15 | 3a374c2120c |
hex | 1ee5ffc95fc |
2123324233212 has 384 divisors, whose sum is σ = 6319647129600. Its totient is φ = 539977881600.
The previous prime is 2123324233201. The next prime is 2123324233237.
2123324233212 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2123324233212.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1686515839 + ... + 1686517097.
It is an arithmetic number, because the mean of its divisors is an integer number (16457414400).
Almost surely, 22123324233212 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 2123324233212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159823564800).
2123324233212 is an abundant number, since it is smaller than the sum of its proper divisors (4196322896388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123324233212 is a wasteful number, since it uses less digits than its factorization.
2123324233212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).
The product of its digits is 20736, while the sum is 30.
The spelling of 2123324233212 in words is "two trillion, one hundred twenty-three billion, three hundred twenty-four million, two hundred thirty-three thousand, two hundred twelve".
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