Search a number
-
+
1311132112443 = 35173759145391
BaseRepresentation
bin10011000101000101100…
…100000101011000111011
311122100021001101100200000
4103011011210011120323
5132440144310044233
62442154211244043
7163504035033606
oct23050544053073
94570231340600
101311132112443
1146605899501a
121921335a9623
13968404c9c1a
144765dc0933d
152418b3add13
hex1314590563b

1311132112443 has 96 divisors (see below), whose sum is σ = 2171947115520. Its totient is φ = 786864637440.

The previous prime is 1311132112439. The next prime is 1311132112447. The reversal of 1311132112443 is 3442112311131.

1311132112443 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 3 + 211 + 2 + 443 = 666.

It is an interprime number because it is at equal distance from previous prime (1311132112439) and next prime (1311132112447).

It is not a de Polignac number, because 1311132112443 - 22 = 1311132112439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1311132112447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8945278 + ... + 9090668.

It is an arithmetic number, because the mean of its divisors is an integer number (22624449120).

Almost surely, 21311132112443 is an apocalyptic number.

1311132112443 is a deficient number, since it is larger than the sum of its proper divisors (860815003077).

1311132112443 is a wasteful number, since it uses less digits than its factorization.

1311132112443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145519 (or 145507 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1311132112443 its reverse (3442112311131), we get a palindrome (4753244423574).

The spelling of 1311132112443 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, one hundred twelve thousand, four hundred forty-three".

Divisors: 1 3 9 17 27 37 51 59 81 111 153 177 243 333 459 531 629 999 1003 1377 1593 1887 2183 2997 3009 4131 4779 5661 6549 8991 9027 14337 16983 19647 27081 37111 50949 58941 81243 111333 145391 152847 176823 243729 333999 436173 530469 1001997 1308519 2471647 3005991 3925557 5379467 7414941 8578069 9017973 11776671 16138401 22244823 25734207 35330013 48415203 66734469 77202621 91450939 145245609 145827173 200203407 231607863 274352817 317388553 435736827 437481519 600610221 694823589 823058451 952165659 1307210481 1312444557 2084470767 2469175353 2856496977 3937333671 5395605401 7407526059 8569490931 11812001013 16186816203 22222578177 25708472793 35436003039 48560448609 77125418379 145681345827 437044037481 1311132112443