Base | Representation |
---|---|
bin | 10010101010110111… |
… | …11110110111000000 |
3 | 221212112200002102010 |
4 | 21111123332313000 |
5 | 131011433131222 |
6 | 4334334452520 |
7 | 503246633046 |
oct | 112533766700 |
9 | 27775602363 |
10 | 10023333312 |
11 | 4283a01743 |
12 | 1b38964140 |
13 | c39799b75 |
14 | 6b12b8396 |
15 | 3d9e6b80c |
hex | 2556fedc0 |
10023333312 has 56 divisors (see below), whose sum is σ = 26573049216. Its totient is φ = 3334436608.
The previous prime is 10023333253. The next prime is 10023333319. The reversal of 10023333312 is 21333332001.
It is a super-3 number, since 3×100233333123 (a number of 31 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023333319) 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 7 ways as a sum of consecutive naturals, for example, 44683 + ... + 148469.
It is an arithmetic number, because the mean of its divisors is an integer number (474518736).
Almost surely, 210023333312 is an apocalyptic number.
10023333312 is a gapful number since it is divisible by the number (12) 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 10023333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13286524608).
10023333312 is an abundant number, since it is smaller than the sum of its proper divisors (16549715904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023333312 is a wasteful number, since it uses less digits than its factorization.
10023333312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104305 (or 104295 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 21.
Adding to 10023333312 its reverse (21333332001), we get a palindrome (31356665313).
The spelling of 10023333312 in words is "ten billion, twenty-three million, three hundred thirty-three thousand, three hundred twelve".
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