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1111213311131 = 711113437127219
BaseRepresentation
bin10000001010111001011…
…110011000010010011011
310221020020100212222211102
4100022321132120102123
5121201231101424011
62210252341422015
7143165621204510
oct20127136302233
93836210788742
101111213311131
11399298a43680
1215b43b10a90b
1380a2cc6a911
143bad6823307
151dd8a12873b
hex102b979849b

1111213311131 has 16 divisors (see below), whose sum is σ = 1385431906560. Its totient is φ = 865866062880.

The previous prime is 1111213311127. The next prime is 1111213311133. The reversal of 1111213311131 is 1311133121111.

It is not a de Polignac number, because 1111213311131 - 22 = 1111213311127 is a prime.

It is a super-4 number, since 4×11112133111314 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111213311133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8671040 + ... + 8798258.

It is an arithmetic number, because the mean of its divisors is an integer number (86589494160).

Almost surely, 21111213311131 is an apocalyptic number.

1111213311131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111213311131 is a deficient number, since it is larger than the sum of its proper divisors (274218595429).

1111213311131 is a wasteful number, since it uses less digits than its factorization.

1111213311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240674.

The product of its digits is 54, while the sum is 20.

Adding to 1111213311131 its reverse (1311133121111), we get a palindrome (2422346432242).

The spelling of 1111213311131 in words is "one trillion, one hundred eleven billion, two hundred thirteen million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 11 77 113437 127219 794059 890533 1247807 1399409 8734649 9795863 14431341703 101019391921 158744758733 1111213311131