Search a number
-
+
11121120131 = 119750920477
BaseRepresentation
bin10100101101101111…
…01101001110000011
31001201001100102211012
422112313231032003
5140234001321011
65035312111135
7542406650522
oct122667551603
931631312735
1011121120131
114797645180
1221a45354ab
131083054374
14776ddc4b9
15451516a8b
hex296ded383

11121120131 has 16 divisors (see below), whose sum is σ = 12281885280. Its totient is φ = 9985735680.

The previous prime is 11121120107. The next prime is 11121120133. The reversal of 11121120131 is 13102112111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11121120131 is a prime.

It is a super-2 number, since 2×111211201312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121120133) 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, 532865 + ... + 553341.

It is an arithmetic number, because the mean of its divisors is an integer number (767617830).

Almost surely, 211121120131 is an apocalyptic number.

11121120131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121120131 is a deficient number, since it is larger than the sum of its proper divisors (1160765149).

11121120131 is a wasteful number, since it uses less digits than its factorization.

11121120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21094.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11121120131 its reverse (13102112111), we get a palindrome (24223232242).

The spelling of 11121120131 in words is "eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 11 97 509 1067 5599 20477 49373 225247 543103 1986269 10422793 21848959 114650723 1011010921 11121120131