Base | Representation |
---|---|
bin | 100100101101110… |
… | …1111101100010000 |
3 | 10011212020121000000 |
4 | 1021123233230100 |
5 | 10010343310000 |
6 | 322130130000 |
7 | 42346624614 |
oct | 11133575420 |
9 | 3155217000 |
10 | 1232010000 |
11 | 58248a391 |
12 | 2a4720900 |
13 | 168321300 |
14 | b98a3344 |
15 | 73260000 |
hex | 496efb10 |
1232010000 has 525 divisors, whose sum is σ = 4842660009. Its totient is φ = 303264000.
The previous prime is 1232009983. The next prime is 1232010007. The reversal of 1232010000 is 102321.
It is a happy number.
The square root of 1232010000 is 35100.
It is a perfect power (a square), and thus also a powerful number.
1232010000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 7 ways, for example, as 1216893456 + 15116544 = 34884^2 + 3888^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1232010007) by changing a digit.
It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 94769994 + ... + 94770006.
Almost surely, 21232010000 is an apocalyptic number.
1232010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1232010000 is the 35100-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1232010000
1232010000 is an abundant number, since it is smaller than the sum of its proper divisors (3610650009).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1232010000 is an frugal number, since it uses more digits than its factorization.
1232010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The cubic root of 1232010000 is about 1072.0245826768.
Adding to 1232010000 its reverse (102321), we get a palindrome (1232112321).
The spelling of 1232010000 in words is "one billion, two hundred thirty-two million, ten thousand".
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