Search a number
-
+
13134244243131 = 32114712172319431
BaseRepresentation
bin1011111100100000110111…
…1101100110011010111011
31201111121210001201122221100
42333020031331212122323
53210142413011240011
643533442152342443
72523626550006414
oct277101575463273
951447701648840
1013134244243131
114204224514580
1215816079a4a23
13743727c598cb
143359b506280b
1517b9b9e18d56
hexbf20df666bb

13134244243131 has 48 divisors (see below), whose sum is σ = 21154110501888. Its totient is φ = 7784378188800.

The previous prime is 13134244243117. The next prime is 13134244243139.

13134244243131 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 42 + 442 + 43 + 131 = 666.

13134244243131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13134244243131 - 222 = 13134240048827 is a prime.

It is a super-2 number, since 2×131342442431312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134244243139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502986 + ... + 6822416.

It is an arithmetic number, because the mean of its divisors is an integer number (440710635456).

Almost surely, 213134244243131 is an apocalyptic number.

13134244243131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13134244243131 is a deficient number, since it is larger than the sum of its proper divisors (8019866258757).

13134244243131 is a wasteful number, since it uses less digits than its factorization.

13134244243131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320712 (or 2320709 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1313424 and 4243131, that added together give a palindrome (5556555).

The spelling of 13134244243131 in words is "thirteen trillion, one hundred thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1217 1551 3651 4653 10953 13387 40161 57199 120483 171597 514791 629189 1887567 2319431 5662701 6958293 20874879 25513741 76541223 109013257 229623669 327039771 981119313 1199145827 2822747527 3597437481 8468242581 10792312443 25404727743 31050222797 93150668391 132669133769 279452005173 398007401307 1194022203921 1459360471459 4378081414377 13134244243131