Base | Representation |
---|---|
bin | 111100111110100… |
… | …110010111001101 |
3 | 2122022000222012021 |
4 | 330332212113031 |
5 | 4043344334041 |
6 | 245303210141 |
7 | 34231502500 |
oct | 7476462715 |
9 | 2568028167 |
10 | 1023043021 |
11 | 485532400 |
12 | 246746951 |
13 | 133c47700 |
14 | 99c29137 |
15 | 5ec33cd1 |
hex | 3cfa65cd |
1023043021 has 54 divisors (see below), whose sum is σ = 1417844106. Its totient is φ = 735134400.
The previous prime is 1023043009. The next prime is 1023043037. The reversal of 1023043021 is 1203403201.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 1920996 + 1021122025 = 1386^2 + 31955^2 .
It is not a de Polignac number, because 1023043021 - 25 = 1023042989 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 1023042986 and 1023043004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023043001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1001491 + ... + 1002511.
Almost surely, 21023043021 is an apocalyptic number.
1023043021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1023043021 is a deficient number, since it is larger than the sum of its proper divisors (394801085).
1023043021 is a wasteful number, since it uses less digits than its factorization.
1023043021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1083 (or 1052 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 1023043021 is about 31985.0437079583. The cubic root of 1023043021 is about 1007.6227529933.
Adding to 1023043021 its reverse (1203403201), we get a palindrome (2226446222).
The spelling of 1023043021 in words is "one billion, twenty-three million, forty-three thousand, twenty-one".
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