Base | Representation |
---|---|
bin | 100100011100101… |
… | …1000000000100100 |
3 | 10011020021211202000 |
4 | 1020321120000210 |
5 | 10001042000400 |
6 | 321205045300 |
7 | 42210220650 |
oct | 11071300044 |
9 | 3136254660 |
10 | 1223000100 |
11 | 578396093 |
12 | 2a16b6830 |
13 | 1664b82ca |
14 | b85d9a60 |
15 | 72580600 |
hex | 48e58024 |
1223000100 has 144 divisors (see below), whose sum is σ = 4493462400. Its totient is φ = 279538560.
The previous prime is 1223000081. The next prime is 1223000101. The reversal of 1223000100 is 10003221.
It is a happy number.
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 (1223000101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13455 + ... + 51254.
It is an arithmetic number, because the mean of its divisors is an integer number (31204600).
Almost surely, 21223000100 is an apocalyptic number.
1223000100 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 1223000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246731200).
1223000100 is an abundant number, since it is smaller than the sum of its proper divisors (3270462300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223000100 is a wasteful number, since it uses less digits than its factorization.
1223000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64739 (or 64726 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1223000100 is about 34971.4183298304. The cubic root of 1223000100 is about 1069.4048864112.
Adding to 1223000100 its reverse (10003221), we get a palindrome (1233003321).
The spelling of 1223000100 in words is "one billion, two hundred twenty-three million, one hundred", and thus it is an aban number.
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