Base | Representation |
---|---|
bin | 10011000010101100… |
… | …01001110101111111 |
3 | 222101110121220201200 |
4 | 21201112021311333 |
5 | 131414110211111 |
6 | 4410233110543 |
7 | 511224121440 |
oct | 114126116577 |
9 | 28343556650 |
10 | 10223132031 |
11 | 4376767452 |
12 | 1b93858453 |
13 | c6bcb3668 |
14 | 6cda472c7 |
15 | 3ec786256 |
hex | 261589d7f |
10223132031 has 12 divisors (see below), whose sum is σ = 16876281552. Its totient is φ = 5841789696.
The previous prime is 10223132021. The next prime is 10223132033. The reversal of 10223132031 is 13023132201.
It is not a de Polignac number, because 10223132031 - 26 = 10223131967 is a prime.
It is a super-3 number, since 3×102231320313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 10223131995 and 10223132013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10223132033) 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 11 ways as a sum of consecutive naturals, for example, 81135906 + ... + 81136031.
It is an arithmetic number, because the mean of its divisors is an integer number (1406356796).
Almost surely, 210223132031 is an apocalyptic number.
10223132031 is a deficient number, since it is larger than the sum of its proper divisors (6653149521).
10223132031 is a wasteful number, since it uses less digits than its factorization.
10223132031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162271950 (or 162271947 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10223132031 its reverse (13023132201), we get a palindrome (23246264232).
The spelling of 10223132031 in words is "ten billion, two hundred twenty-three million, one hundred thirty-two thousand, thirty-one".
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