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1131111133 = 17493713477
BaseRepresentation
bin100001101101011…
…0110001011011101
32220211101101202221
41003122312023131
54304031024013
6304123345341
740013200045
oct10332661335
92824341687
101131111133
11530534599
12276982251
13150454639
14aa31a725
156947e08d
hex436b62dd

1131111133 has 8 divisors (see below), whose sum is σ = 1197978552. Its totient is φ = 1064280576.

The previous prime is 1131111101. The next prime is 1131111139. The reversal of 1131111133 is 3311111311.

It can be written as a sum of positive squares in 4 ways, for example, as 363931929 + 767179204 = 19077^2 + 27698^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1131111133 - 25 = 1131111101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131111139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77191 + ... + 90667.

It is an arithmetic number, because the mean of its divisors is an integer number (149747319).

Almost surely, 21131111133 is an apocalyptic number.

It is an amenable number.

1131111133 is a deficient number, since it is larger than the sum of its proper divisors (66867419).

1131111133 is a wasteful number, since it uses less digits than its factorization.

1131111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18431.

The product of its digits is 27, while the sum is 16.

The square root of 1131111133 is about 33631.9956737628. The cubic root of 1131111133 is about 1041.9217220458.

Adding to 1131111133 its reverse (3311111311), we get a palindrome (4442222444).

It can be divided in two parts, 113111 and 1133, that added together give a square (114244 = 3382).

The spelling of 1131111133 in words is "one billion, one hundred thirty-one million, one hundred eleven thousand, one hundred thirty-three".

Divisors: 1 17 4937 13477 83929 229109 66535949 1131111133