Base | Representation |
---|---|
bin | 1001010011101001101110… |
… | …0100000100001101111101 |
3 | 1100020021201211121111222112 |
4 | 2110322123210010031331 |
5 | 2320130114314201023 |
6 | 33433024410223405 |
7 | 2104216532000324 |
oct | 224723344041575 |
9 | 40207654544875 |
10 | 10233222022013 |
11 | 3295981063061 |
12 | 1193325424b65 |
13 | 592cb121bb93 |
14 | 27540d5370bb |
15 | 12b2c9cde478 |
hex | 94e9b90437d |
10233222022013 has 16 divisors (see below), whose sum is σ = 11209090230000. Its totient is φ = 9298916831232.
The previous prime is 10233222021977. The next prime is 10233222022033. The reversal of 10233222022013 is 31022022233201.
10233222022013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 93563797924 + 10139658224089 = 305882^2 + 3184283^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-10233222022013 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 10233222022013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10233222022033) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20662913 + ... + 21152361.
It is an arithmetic number, because the mean of its divisors is an integer number (700568139375).
Almost surely, 210233222022013 is an apocalyptic number.
It is an amenable number.
10233222022013 is a deficient number, since it is larger than the sum of its proper divisors (975868207987).
10233222022013 is a wasteful number, since it uses less digits than its factorization.
10233222022013 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 531904.
The product of its (nonzero) digits is 1728, while the sum is 23.
Adding to 10233222022013 its reverse (31022022233201), we get a palindrome (41255244255214).
The spelling of 10233222022013 in words is "ten trillion, two hundred thirty-three billion, two hundred twenty-two million, twenty-two thousand, thirteen".
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