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11131431204444 = 22337331539914029
BaseRepresentation
bin1010000111111011110100…
…0000001011011001011100
31110102011011120122122100020
42201332331000023121130
52424334132342020234
635401413042232140
72226135146036355
oct241767500133134
943364146578306
1011131431204444
1136018a47a0131
1212b9419955650
136298c6981605
142a6a9ab56d2c
15144849ec8549
hexa1fbd00b65c

11131431204444 has 96 divisors (see below), whose sum is σ = 26762774976000. Its totient is φ = 3598363802880.

The previous prime is 11131431204379. The next prime is 11131431204511. The reversal of 11131431204444 is 44440213413111.

11131431204444 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793451622 + ... + 793465650.

It is an arithmetic number, because the mean of its divisors is an integer number (278778906000).

Almost surely, 211131431204444 is an apocalyptic number.

It is an amenable number.

11131431204444 is an abundant number, since it is smaller than the sum of its proper divisors (15631343771556).

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

11131431204444 is a wasteful number, since it uses less digits than its factorization.

11131431204444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19803 (or 19801 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 11131431204444 its reverse (44440213413111), we get a palindrome (55571644617555).

The spelling of 11131431204444 in words is "eleven trillion, one hundred thirty-one billion, four hundred thirty-one million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 331 444 662 993 1324 1986 3972 5399 10798 12247 14029 16197 21596 24494 28058 32394 36741 42087 48988 56116 64788 73482 84174 146964 168348 199763 399526 519073 599289 799052 1038146 1198578 1557219 1787069 2076292 2397156 3114438 3574138 4643599 5361207 6228876 7148276 9287198 10722414 13930797 18574396 21444828 27861594 55723188 66121553 75742571 132243106 151485142 171813163 198364659 227227713 264486212 302970284 343626326 396729318 454455426 515439489 687252652 793458636 908910852 1030878978 2061757956 2802475127 5604950254 8407425381 11209900508 16814850762 25070791001 33629701524 50141582002 75212373003 100283164004 150424746006 300849492012 927619267037 1855238534074 2782857801111 3710477068148 5565715602222 11131431204444