Search a number
-
+
13114401333111 = 3313535231347919
BaseRepresentation
bin1011111011010110111100…
…1110111001111101110111
31201102201120011210101122000
42332311233032321331313
53204331243220124421
643520401154110343
72522325043031661
oct276655716717567
951381504711560
1013114401333111
1141a687172a591
1215797aa57b3b3
137418b4c94030
14334a5198d531
1517b207d7d226
hexbed6f3b9f77

13114401333111 has 64 divisors (see below), whose sum is σ = 21358816819200. Its totient is φ = 7902983417472.

The previous prime is 13114401333079. The next prime is 13114401333133. The reversal of 13114401333111 is 11133310441131.

13114401333111 is a `hidden beast` number, since 1 + 3 + 114 + 401 + 3 + 33 + 111 = 666.

It is not a de Polignac number, because 13114401333111 - 25 = 13114401333079 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114401333151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9055410 + ... + 10403328.

It is an arithmetic number, because the mean of its divisors is an integer number (333731512800).

Almost surely, 213114401333111 is an apocalyptic number.

13114401333111 is a deficient number, since it is larger than the sum of its proper divisors (8244415486089).

13114401333111 is a wasteful number, since it uses less digits than its factorization.

13114401333111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348517 (or 1348511 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 13114401333111 its reverse (11133310441131), we get a palindrome (24247711774242).

The spelling of 13114401333111 in words is "thirteen trillion, one hundred fourteen billion, four hundred one million, three hundred thirty-three thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 53 117 159 351 477 523 689 1431 1569 2067 4707 6201 6799 14121 18603 20397 27719 61191 83157 183573 249471 360347 748413 1081041 1347919 3243123 4043757 9729369 12131271 17522947 36393813 52568841 71439707 157706523 214319121 473119569 642957363 704961637 928716191 1928872089 2114884911 2786148573 6344654733 8358445719 9164501281 19033964199 25075337157 27493503843 37362966761 82480511529 112088900283 247441534587 336266700849 485718567893 1008800102547 1457155703679 4371467111037 13114401333111