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10233222021333 = 3217593677166601
BaseRepresentation
bin1001010011101001101110…
…0100000100000011010101
31100020021201211121111001100
42110322123210010003111
52320130114314140313
633433024410220313
72104216531665333
oct224723344040325
940207654544040
1010233222021333
1132959810625a3
121193325424699
13592cb121b78c
1427540d536b53
1512b2c9cde173
hex94e9b9040d5

10233222021333 has 48 divisors (see below), whose sum is σ = 15700453859376. Its totient is φ = 6400510771200.

The previous prime is 10233222021329. The next prime is 10233222021349. The reversal of 10233222021333 is 33312022233201.

10233222021333 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 322 + 2 + 0 + 2 + 1 + 333 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3063557091204 + 7169664930129 = 1750302^2 + 2677623^2 .

It is not a de Polignac number, because 10233222021333 - 22 = 10233222021329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10233222021297 and 10233222021306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233222021313) 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 47 ways as a sum of consecutive naturals, for example, 61340233 + ... + 61506833.

It is an arithmetic number, because the mean of its divisors is an integer number (327092788737).

Almost surely, 210233222021333 is an apocalyptic number.

It is an amenable number.

10233222021333 is a deficient number, since it is larger than the sum of its proper divisors (5467231838043).

10233222021333 is a wasteful number, since it uses less digits than its factorization.

10233222021333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167894 (or 167891 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10233222021333 its reverse (33312022233201), we get a palindrome (43545244254534).

The spelling of 10233222021333 in words is "ten trillion, two hundred thirty-three billion, two hundred twenty-two million, twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 593 677 1779 2031 5337 6093 10081 11509 30243 34527 90729 103581 166601 401461 499803 1204383 1499409 2832217 3613149 6824837 8496651 20474511 25489953 61423533 98794393 112788877 296383179 338366631 889149537 1015099893 1679504681 1917410909 5038514043 5752232727 15115542129 17256698181 66883804061 200651412183 601954236549 1137024669037 3411074007111 10233222021333