Search a number
-
+
11233320021 = 3272112399689
BaseRepresentation
bin10100111011000111…
…01101110001010101
31001222212110210010200
422131203231301111
5141001212220041
65054401011113
7545241434100
oct123543556125
931885423120
1011233320021
114844a09660
122216023a99
1310a0379b31
14787c87737
1545b2cb1b6
hex29d8edc55

11233320021 has 72 divisors (see below), whose sum is σ = 20679235200. Its totient is φ = 5810474880.

The previous prime is 11233320001. The next prime is 11233320029. The reversal of 11233320021 is 12002333211.

11233320021 is a `hidden beast` number, since 112 + 333 + 200 + 21 = 666.

It is not a de Polignac number, because 11233320021 - 29 = 11233319509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11233319976 and 11233320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233320029) 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 71 ways as a sum of consecutive naturals, for example, 1154545 + ... + 1164233.

It is an arithmetic number, because the mean of its divisors is an integer number (287211600).

Almost surely, 211233320021 is an apocalyptic number.

11233320021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11233320021 is a deficient number, since it is larger than the sum of its proper divisors (9445915179).

11233320021 is a wasteful number, since it uses less digits than its factorization.

11233320021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11233320021 its reverse (12002333211), we get a palindrome (23235653232).

The spelling of 11233320021 in words is "eleven billion, two hundred thirty-three million, three hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 239 441 539 693 717 1617 1673 2151 2629 4851 5019 7887 9689 11711 15057 18403 23661 29067 35133 55209 67823 87201 105399 106579 128821 165627 203469 319737 386463 474761 610407 746053 959211 1159389 1424283 2238159 2315671 4272849 5222371 6714477 6947013 15667113 16209697 20841039 25472381 47001339 48629091 76417143 113467879 145887273 178306667 229251429 340403637 534920001 1021210911 1248146669 1604760003 3744440007 11233320021