| Base | Representation |
|---|---|
| bin | 111100010101010… |
| … | …110111101000000 |
| 3 | 2121112200201021002 |
| 4 | 330111112331000 |
| 5 | 4033112411000 |
| 6 | 244235351132 |
| 7 | 34040554463 |
| oct | 7425267500 |
| 9 | 2545621232 |
| 10 | 1012232000 |
| 11 | 47a41897a |
| 12 | 242bb24a8 |
| 13 | 131930960 |
| 14 | 986132da |
| 15 | 5dcea8d5 |
| hex | 3c556f40 |
1012232000 has 112 divisors (see below), whose sum is σ = 2699900112. Its totient is φ = 373708800.
The previous prime is 1012231981. The next prime is 1012232017. The reversal of 1012232000 is 2322101.
It is a happy number.
1012232000 is digitally balanced in base 2, 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 8 ways, for example, as 314849536 + 697382464 = 17744^2 + 26408^2 .
It is a super-2 number, since 2×10122320002 = 2049227243648000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99134 + ... + 108866.
It is an arithmetic number, because the mean of its divisors is an integer number (24106251).
Almost surely, 21012232000 is an apocalyptic number.
1012232000 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 1012232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349950056).
1012232000 is an abundant number, since it is smaller than the sum of its proper divisors (1687668112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012232000 is an equidigital number, since it uses as much as digits as its factorization.
1012232000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9773 (or 9753 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 1012232000 is about 31815.5936609707. The cubic root of 1012232000 is about 1004.0608207469.
Adding to 1012232000 its reverse (2322101), we get a palindrome (1014554101).
The spelling of 1012232000 in words is "one billion, twelve million, two hundred thirty-two thousand".
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