Base | Representation |
---|---|
bin | 10010101100000001… |
… | …10110111001010111 |
3 | 221220012212012122110 |
4 | 21112000312321113 |
5 | 131021422000043 |
6 | 4335322002103 |
7 | 503425043634 |
oct | 112600667127 |
9 | 27805765573 |
10 | 10033000023 |
11 | 4289404462 |
12 | 1b40046333 |
13 | c3b7a2b07 |
14 | 6b26b318b |
15 | 3dac2ab33 |
hex | 256036e57 |
10033000023 has 16 divisors (see below), whose sum is σ = 13591589760. Its totient is φ = 6581753376.
The previous prime is 10033000013. The next prime is 10033000099. The reversal of 10033000023 is 32000033001.
It is a happy number.
10033000023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10033000023 - 29 = 10032999511 is a prime.
It is a super-2 number, since 2×100330000232 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10032999972 and 10033000008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10033000013) 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, 163993 + ... + 216701.
It is an arithmetic number, because the mean of its divisors is an integer number (849474360).
Almost surely, 210033000023 is an apocalyptic number.
10033000023 is a deficient number, since it is larger than the sum of its proper divisors (3558589737).
10033000023 is an equidigital number, since it uses as much as digits as its factorization.
10033000023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53726.
The product of its (nonzero) digits is 54, while the sum is 12.
Adding to 10033000023 its reverse (32000033001), we get a palindrome (42033033024).
The spelling of 10033000023 in words is "ten billion, thirty-three million, twenty-three", and thus it is an aban number and an uban number.
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