Base | Representation |
---|---|
bin | 111100111111010… |
… | …010010110100001 |
3 | 2122022101010100121 |
4 | 330333102112201 |
5 | 4043421120301 |
6 | 245311120241 |
7 | 34233153010 |
oct | 7477222641 |
9 | 2568333317 |
10 | 1023223201 |
11 | 485645810 |
12 | 246813081 |
13 | 133cab720 |
14 | 99c74a77 |
15 | 5ec6c3a1 |
hex | 3cfd25a1 |
1023223201 has 16 divisors (see below), whose sum is σ = 1373839488. Its totient is φ = 735984000.
The previous prime is 1023223171. The next prime is 1023223219.
1023223201 is nontrivially palindromic in base 10.
It is a cyclic number.
It is not a de Polignac number, because 1023223201 - 27 = 1023223073 is a prime.
It is not an unprimeable number, because it can be changed into a prime (1023223001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510100 + ... + 512101.
It is an arithmetic number, because the mean of its divisors is an integer number (85864968).
Almost surely, 21023223201 is an apocalyptic number.
1023223201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1023223201 is a deficient number, since it is larger than the sum of its proper divisors (350616287).
1023223201 is a wasteful number, since it uses less digits than its factorization.
1023223201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1022232.
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 1023223201 is about 31987.8602128995. The cubic root of 1023223201 is about 1007.6819042400.
It can be divided in two parts, 10232 and 23201, that added together give a palindrome (33433).
The spelling of 1023223201 in words is "one billion, twenty-three million, two hundred twenty-three thousand, two hundred one".
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