Base | Representation |
---|---|
bin | 111011101110011… |
… | …010100011010001 |
3 | 2120211111001022110 |
4 | 323232122203101 |
5 | 4023004214441 |
6 | 243232455533 |
7 | 33555025131 |
oct | 7356324321 |
9 | 2524431273 |
10 | 1002023121 |
11 | 474685890 |
12 | 23b6aa5a9 |
13 | 12c797cb8 |
14 | 97116ac1 |
15 | 5ce80b16 |
hex | 3bb9a8d1 |
1002023121 has 32 divisors (see below), whose sum is σ = 1549486080. Its totient is φ = 569592000.
The previous prime is 1002023119. The next prime is 1002023147. The reversal of 1002023121 is 1213202001.
It is not a de Polignac number, because 1002023121 - 21 = 1002023119 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 1002023097 and 1002023106.
It is not an unprimeable number, because it can be changed into a prime (1002023101) 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 31 ways as a sum of consecutive naturals, for example, 55416 + ... + 71238.
It is an arithmetic number, because the mean of its divisors is an integer number (48421440).
Almost surely, 21002023121 is an apocalyptic number.
1002023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1002023121 is a deficient number, since it is larger than the sum of its proper divisors (547462959).
1002023121 is a wasteful number, since it uses less digits than its factorization.
1002023121 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15957.
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1002023121 is about 31654.7487906633. The cubic root of 1002023121 is about 1000.6739193973.
Adding to 1002023121 its reverse (1213202001), we get a palindrome (2215225122).
The spelling of 1002023121 in words is "one billion, two million, twenty-three thousand, one hundred twenty-one".
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