Search a number
-
+
1311442113366 = 2327111527161961
BaseRepresentation
bin10011000101011000000…
…010101001001101010110
311122101001122201000222200
4103011120002221031112
5132441313140111431
62442245043505330
7163514521015440
oct23053002511526
94571048630880
101311442113366
114661a797a330
121921bb388246
139688c7b9b18
144768d063490
15241a86e5ee6
hex131580a9356

1311442113366 has 96 divisors (see below), whose sum is σ = 3542886038016. Its totient is φ = 340606512000.

The previous prime is 1311442113313. The next prime is 1311442113367. The reversal of 1311442113366 is 6633112441131.

1311442113366 is a `hidden beast` number, since 1 + 31 + 14 + 421 + 133 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1311442113366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311442113367) 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 47 ways as a sum of consecutive naturals, for example, 21134626 + ... + 21196586.

It is an arithmetic number, because the mean of its divisors is an integer number (36905062896).

Almost surely, 21311442113366 is an apocalyptic number.

1311442113366 is an abundant number, since it is smaller than the sum of its proper divisors (2231443924650).

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

1311442113366 is a wasteful number, since it uses less digits than its factorization.

1311442113366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77258 (or 77255 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 1311442113366 its reverse (6633112441131), we get a palindrome (7944554554497).

The spelling of 1311442113366 in words is "one trillion, three hundred eleven billion, four hundred forty-two million, one hundred thirteen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 15271 30542 45813 61961 91626 106897 123922 137439 167981 185883 213794 274878 320691 335962 371766 433727 503943 557649 641382 681571 867454 962073 1007886 1115298 1175867 1301181 1363142 1511829 1924146 2044713 2351734 2602362 3023658 3527601 3903543 4089426 4770997 6134139 7055202 7807086 9541994 10582803 12268278 14312991 21165606 28625982 42938973 85877946 946206431 1892412862 2838619293 5677238586 6623445017 8515857879 10408270741 13246890034 17031715758 19870335051 20816541482 31224812223 39740670102 59611005153 62449624446 72857895187 93674436669 119222010306 145715790374 187348873338 218573685561 437147371122 655721056683 1311442113366