Base | Representation |
---|---|
bin | 11101001010111011110… |
… | …11101011000101010100 |
3 | 10112211010020111101121100 |
4 | 32211131323223011110 |
5 | 112410204121212040 |
6 | 2044241330150100 |
7 | 132262003341054 |
oct | 16453573530524 |
9 | 3484106441540 |
10 | 1002303304020 |
11 | 3570900a3337 |
12 | 142305422330 |
13 | 73694529825 |
14 | 367242d5564 |
15 | 1b113a8bb30 |
hex | e95deeb154 |
1002303304020 has 72 divisors (see below), whose sum is σ = 3046973051304. Its totient is φ = 266695999488.
The previous prime is 1002303304001. The next prime is 1002303304033. The reversal of 1002303304020 is 204033032001.
1002303304020 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 3 + 30 + 402 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 42553913796 + 959749390224 = 206286^2 + 979668^2 .
It is a super-2 number, since 2×10023033040202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1002303303984 and 1002303304002.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6010029 + ... + 6174548.
It is an arithmetic number, because the mean of its divisors is an integer number (42319070157).
Almost surely, 21002303304020 is an apocalyptic number.
1002303304020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1002303304020 is an abundant number, since it is smaller than the sum of its proper divisors (2044669747284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002303304020 is a wasteful number, since it uses less digits than its factorization.
1002303304020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12185049 (or 12185044 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 1002303304020 its reverse (204033032001), we get a palindrome (1206336336021).
The spelling of 1002303304020 in words is "one trillion, two billion, three hundred three million, three hundred four thousand, twenty".
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