Base | Representation |
---|---|
bin | 10101011011101000… |
… | …111110001000101000 |
3 | 2012101202201010200100 |
4 | 111123220332020220 |
5 | 334112122202100 |
6 | 14323253305400 |
7 | 1443160231362 |
oct | 253350761050 |
9 | 65352633610 |
10 | 23012303400 |
11 | 9839933169 |
12 | 4562935260 |
13 | 22297a9298 |
14 | 11843b1d32 |
15 | 8ea440400 |
hex | 55ba3e228 |
23012303400 has 72 divisors (see below), whose sum is σ = 77282991630. Its totient is φ = 6136613760.
The previous prime is 23012303399. The next prime is 23012303407. The reversal of 23012303400 is 430321032.
23012303400 is a `hidden beast` number, since 2 + 30 + 1 + 230 + 3 + 400 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 16454219076 + 6558084324 = 128274^2 + 80982^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×230123034003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (23012303407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6390507 + ... + 6394106.
Almost surely, 223012303400 is an apocalyptic number.
23012303400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23012303400 is an abundant number, since it is smaller than the sum of its proper divisors (54270688230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23012303400 is a wasteful number, since it uses less digits than its factorization.
23012303400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12784635 (or 12784623 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 23012303400 its reverse (430321032), we get a palindrome (23442624432).
The spelling of 23012303400 in words is "twenty-three billion, twelve million, three hundred three thousand, four hundred".
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