Search a number
-
+
1311131434311 = 344111316720921
BaseRepresentation
bin10011000101000101100…
…001011111110101000111
311122100021000002220110000
4103011011201133311013
5132440144121344221
62442154144532343
7163504026210546
oct23050541376507
94570230086400
101311131434311
11466058571586
121921333210b3
139684032036a
144765dab015d
152418b2c7e26
hex1314585fd47

1311131434311 has 80 divisors (see below), whose sum is σ = 2036347967808. Its totient is φ = 840120422400.

The previous prime is 1311131434289. The next prime is 1311131434331. The reversal of 1311131434311 is 1134341311131.

1311131434311 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 314 + 34 + 311 = 666.

It is not a de Polignac number, because 1311131434311 - 211 = 1311131432263 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 (1311131434331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62660131 + ... + 62681051.

Almost surely, 21311131434311 is an apocalyptic number.

1311131434311 is a deficient number, since it is larger than the sum of its proper divisors (725216533497).

1311131434311 is a wasteful number, since it uses less digits than its factorization.

1311131434311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254 (or 21245 counting only the distinct ones).

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

Adding to 1311131434311 its reverse (1134341311131), we get a palindrome (2445472745442).

The spelling of 1311131434311 in words is "one trillion, three hundred eleven billion, one hundred thirty-one million, four hundred thirty-four thousand, three hundred eleven".

Divisors: 1 3 9 27 41 81 113 123 167 339 369 501 1017 1107 1503 3051 3321 4509 4633 6847 9153 13527 13899 18871 20541 20921 41697 56613 61623 62763 125091 169839 184869 188289 375273 509517 554607 564867 773711 857761 1528551 1694601 2321133 2364073 2573283 3493807 6963399 7092219 7719849 10481421 20890197 21276657 23159547 31444263 62670591 63829971 69478641 94332789 96926993 143246087 191489913 282998367 290780979 394800191 429738261 872342937 1184400573 1289214783 2617028811 3553201719 3867644349 7851086433 10659605157 11602933047 16186807831 31978815471 48560423493 145681270479 437043811437 1311131434311