Search a number
-
+
11303111130311 = 7111312421909091
BaseRepresentation
bin1010010001111011010111…
…1011000111110011000111
31111000120022020201111112002
42210132311323013303013
52440142232422132221
640012324431015515
72244423426241520
oct244366573076307
944016266644462
1011303111130311
11366869361a490
12132675106a59b
1363cb56976b70
142b110596b847
1514904705e80b
hexa47b5ec7cc7

11303111130311 has 32 divisors (see below), whose sum is σ = 15177443667456. Its totient is φ = 8129446416000.

The previous prime is 11303111130229. The next prime is 11303111130347.

It is a happy number.

11303111130311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11303111130311 - 210 = 11303111129287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303111130611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11978876 + ... + 12887966.

It is an arithmetic number, because the mean of its divisors is an integer number (474295114608).

Almost surely, 211303111130311 is an apocalyptic number.

11303111130311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11303111130311 is a deficient number, since it is larger than the sum of its proper divisors (3874332537145).

11303111130311 is a wasteful number, since it uses less digits than its factorization.

11303111130311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921543.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 1130311 and 1130311, that added together give a palindrome (2260622).

The spelling of 11303111130311 in words is "eleven trillion, three hundred three billion, one hundred eleven million, one hundred thirty thousand, three hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 12421 86947 136631 161473 909091 956417 1130311 1776203 6363637 10000001 11818183 12433421 70000007 82727281 130000013 910000091 11291819311 79042735177 124210012421 146793651043 869470086947 1027555557301 1614730161473 11303111130311