Search a number
-
+
21153204163314 = 2322437482223229
BaseRepresentation
bin1001100111101000111010…
…01110000101001011110010
32202220020010011112210202200
410303310131032011023302
510233033230231211224
6112553351533324030
74312161055462116
oct463643516051362
982806104483680
1021153204163314
116816029318433
122457771336616
13ba597a8c7542
14531b6b805746
1526a39b64d5c9
hex133d1d3852f2

21153204163314 has 24 divisors (see below), whose sum is σ = 45850749154860. Its totient is φ = 7048174700448.

The previous prime is 21153204163307. The next prime is 21153204163361. The reversal of 21153204163314 is 41336140235112.

21153204163314 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 3 + 2 + 0 + 4 + 1 + 633 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21022380890289 + 130823273025 = 4585017^2 + 361695^2 .

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 11 ways as a sum of consecutive naturals, for example, 241067749 + ... + 241155480.

Almost surely, 221153204163314 is an apocalyptic number.

21153204163314 is an abundant number, since it is smaller than the sum of its proper divisors (24697544991546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21153204163314 is a wasteful number, since it uses less digits than its factorization.

21153204163314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482225674 (or 482225671 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 21153204163314 its reverse (41336140235112), we get a palindrome (62489344398426).

The spelling of 21153204163314 in words is "twenty-one trillion, one hundred fifty-three billion, two hundred four million, one hundred sixty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 2437 4874 7311 14622 21933 43866 482223229 964446458 1446669687 2893339374 4340009061 8680018122 1175178009073 2350356018146 3525534027219 7051068054438 10576602081657 21153204163314