Base | Representation |
---|---|
bin | 101101110111… |
… | …010100111100 |
3 | 211121211121000 |
4 | 231313110330 |
5 | 11034214400 |
6 | 1105410300 |
7 | 204123525 |
oct | 55672474 |
9 | 24554530 |
10 | 12023100 |
11 | 6872151 |
12 | 4039990 |
13 | 264c67b |
14 | 184d84c |
15 | 10c7600 |
hex | b7753c |
12023100 has 144 divisors (see below), whose sum is σ = 39823840. Its totient is φ = 3110400.
The previous prime is 12023059. The next prime is 12023119. The reversal of 12023100 is 132021.
It is a happy number.
It is a super-2 number, since 2×120231002 = 289109867220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164664 + ... + 164736.
Almost surely, 212023100 is an apocalyptic number.
12023100 is a gapful number since it is divisible by the number (10) 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 12023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19911920).
12023100 is an abundant number, since it is smaller than the sum of its proper divisors (27800740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12023100 is a wasteful number, since it uses less digits than its factorization.
12023100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 12023100 is about 3467.4342099022. The cubic root of 12023100 is about 229.0896593418.
Adding to 12023100 its reverse (132021), we get a palindrome (12155121).
It can be divided in two parts, 120 and 23100, that added together give a triangular number (23220 = T215).
The spelling of 12023100 in words is "twelve million, twenty-three thousand, one hundred".
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