Base | Representation |
---|---|
bin | 100100101100000… |
… | …1010101111001000 |
3 | 10011210110221120200 |
4 | 1021120022233020 |
5 | 10010123302300 |
6 | 322054052200 |
7 | 42335640531 |
oct | 11130125710 |
9 | 3153427520 |
10 | 1231072200 |
11 | 5819a9846 |
12 | 2a434a060 |
13 | 1680834b7 |
14 | b96db688 |
15 | 73127200 |
hex | 4960abc8 |
1231072200 has 108 divisors (see below), whose sum is σ = 4139356065. Its totient is φ = 327888960.
The previous prime is 1231072097. The next prime is 1231072201. The reversal of 1231072200 is 22701321.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 1206450756 + 24621444 = 34734^2 + 4962^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=24810.
It is a super-2 number, since 2×12310722002 = 3031077523225680000, which contains 22 as substring.
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 (1231072201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1488187 + ... + 1489013.
Almost surely, 21231072200 is an apocalyptic number.
1231072200 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 1231072200
1231072200 is an abundant number, since it is smaller than the sum of its proper divisors (2908283865).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1231072200 is an equidigital number, since it uses as much as digits as its factorization.
1231072200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1676 (or 837 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 1231072200 is about 35086.6384824765. The cubic root of 1231072200 is about 1071.7525070039.
Multiplying 1231072200 by its sum of digits (18), we get a square (22159299600 = 1488602).
1231072200 divided by its sum of digits (18) gives a square (68392900 = 82702).
Adding to 1231072200 its reverse (22701321), we get a palindrome (1253773521).
The spelling of 1231072200 in words is "one billion, two hundred thirty-one million, seventy-two thousand, two hundred".
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