Base | Representation |
---|---|
bin | 100001111011000001100… |
… | …101111001010110000100 |
3 | 22020212000202221102010220 |
4 | 201323001211321112010 |
5 | 301143113233230312 |
6 | 4542522444144340 |
7 | 330263221601463 |
oct | 41730145712604 |
9 | 8225022842126 |
10 | 2331120211332 |
11 | 819693650500 |
12 | 3179535380b0 |
13 | 13ba928643c3 |
14 | 80b80b1a9da |
15 | 409877dec8c |
hex | 21ec1979584 |
2331120211332 has 144 divisors (see below), whose sum is σ = 6232691845632. Its totient is φ = 676843200000.
The previous prime is 2331120211331. The next prime is 2331120211349.
2331120211332 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (2331120211331) 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 47 ways as a sum of consecutive naturals, for example, 4289832 + ... + 4802592.
Almost surely, 22331120211332 is an apocalyptic number.
2331120211332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2331120211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116345922816).
2331120211332 is an abundant number, since it is smaller than the sum of its proper divisors (3901571634300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2331120211332 is a wasteful number, since it uses less digits than its factorization.
2331120211332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 512922 (or 512909 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
It can be divided in two parts, 2331120 and 211332, that added together give a palindrome (2542452).
The spelling of 2331120211332 in words is "two trillion, three hundred thirty-one billion, one hundred twenty million, two hundred eleven thousand, three hundred thirty-two".
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