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22132211013 = 341147875189
BaseRepresentation
bin10100100111001011…
…101011110101000101
32010010102122210220000
4110213023223311011
5330311321223023
614100054031513
71412312455353
oct244713536505
963112583800
1022132211013
119428068790
124358048599
132119362c63
1410dd5587d3
15898047243
hex5272ebd45

22132211013 has 40 divisors (see below), whose sum is σ = 36081793440. Its totient is φ = 13408074720.

The previous prime is 22132210993. The next prime is 22132211027. The reversal of 22132211013 is 31011223122.

22132211013 is a `hidden beast` number, since 221 + 322 + 110 + 13 = 666.

It is not a de Polignac number, because 22132211013 - 210 = 22132209989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132211033) 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 39 ways as a sum of consecutive naturals, for example, 4262623 + ... + 4267811.

It is an arithmetic number, because the mean of its divisors is an integer number (902044836).

Almost surely, 222132211013 is an apocalyptic number.

It is an amenable number.

22132211013 is a deficient number, since it is larger than the sum of its proper divisors (13949582427).

22132211013 is a wasteful number, since it uses less digits than its factorization.

22132211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22132211013 its reverse (31011223122), we get a palindrome (53143434135).

The spelling of 22132211013 in words is "twenty-two billion, one hundred thirty-two million, two hundred eleven thousand, thirteen".

Divisors: 1 3 9 11 27 33 81 99 297 891 4787 5189 14361 15567 43083 46701 52657 57079 129249 140103 157971 171237 387747 420309 473913 513711 1421739 1541133 4265217 4623399 24839743 74519229 223557687 273237173 670673061 819711519 2012019183 2459134557 7377403671 22132211013