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11300330223 = 337136077577
BaseRepresentation
bin10101000011000110…
…10101101011101111
31002011112120020212000
422201203111223233
5141120341031343
65105153143343
7550014136110
oct124143255357
932145506760
1011300330223
114879818396
12223455ab53
1310b120c840
14792b2c207
15462115ed3
hex2a18d5aef

11300330223 has 64 divisors (see below), whose sum is σ = 20641259520. Its totient is φ = 5950008576.

The previous prime is 11300330207. The next prime is 11300330243. The reversal of 11300330223 is 32203300311.

11300330223 is a `hidden beast` number, since 11 + 300 + 330 + 2 + 23 = 666.

It is not a de Polignac number, because 11300330223 - 24 = 11300330207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11300330196 and 11300330205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300330203) 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 63 ways as a sum of consecutive naturals, for example, 1487611 + ... + 1495187.

It is an arithmetic number, because the mean of its divisors is an integer number (322519680).

Almost surely, 211300330223 is an apocalyptic number.

11300330223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11300330223 is a deficient number, since it is larger than the sum of its proper divisors (9340929297).

11300330223 is a wasteful number, since it uses less digits than its factorization.

11300330223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11300330223 its reverse (32203300311), we get a palindrome (43503630534).

The spelling of 11300330223 in words is "eleven billion, three hundred million, three hundred thirty thousand, two hundred twenty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 607 819 1821 2457 4249 5463 7577 7891 12747 16389 22731 23673 38241 53039 55237 68193 71019 98501 114723 159117 165711 204579 213057 295503 477351 497133 689507 886509 1432053 1491399 2068521 2659527 4599239 6205563 13797717 18616689 32194673 41393151 59790107 96584019 124179453 179370321 289752057 418530749 538110963 869256171 1255592247 1614332889 3766776741 11300330223