Search a number
-
+
11203332444 = 22321926960889
BaseRepresentation
bin10100110111100010…
…10100100101011100
31001220210001020220200
422123301110211130
5140421023114234
65051410143500
7544425516543
oct123361244534
931823036820
1011203332444
114829a97537
122207b81b90
1310970aa6c5
14783cbd15a
15458855d99
hex29bc5495c

11203332444 has 72 divisors (see below), whose sum is σ = 29921346000. Its totient is φ = 3524684544.

The previous prime is 11203332409. The next prime is 11203332449. The reversal of 11203332444 is 44423330211.

11203332444 is a `hidden beast` number, since 11 + 203 + 3 + 3 + 2 + 444 = 666.

11203332444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203332449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153552 + ... + 214440.

It is an arithmetic number, because the mean of its divisors is an integer number (415574250).

Almost surely, 211203332444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203332444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960673000).

11203332444 is an abundant number, since it is smaller than the sum of its proper divisors (18718013556).

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

11203332444 is a wasteful number, since it uses less digits than its factorization.

11203332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61187 (or 61182 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11203332444 its reverse (44423330211), we get a palindrome (55626662655).

The spelling of 11203332444 in words is "eleven billion, two hundred three million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 269 342 538 684 807 1076 1614 2421 3228 4842 5111 9684 10222 15333 20444 30666 45999 60889 61332 91998 121778 182667 183996 243556 365334 548001 730668 1096002 1156891 2192004 2313782 3470673 4627564 6941346 10412019 13882692 16379141 20824038 32758282 41648076 49137423 65516564 98274846 147412269 196549692 294824538 311203679 589649076 622407358 933611037 1244814716 1867222074 2800833111 3734444148 5601666222 11203332444