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1140413021 = 11282911369
BaseRepresentation
bin100001111111001…
…0101001001011101
32221110212222120022
41003332111021131
54313421204041
6305055001525
740155231206
oct10376251135
92843788508
101140413021
11535808200
12279b092a5
13152360507
14ab65c5ad
156a1ba24b
hex43f9525d

1140413021 has 12 divisors (see below), whose sum is σ = 1255134300. Its totient is φ = 1035397440.

The previous prime is 1140413009. The next prime is 1140413039. The reversal of 1140413021 is 1203140411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 656896900 + 483516121 = 25630^2 + 21989^2 .

It is not a de Polignac number, because 1140413021 - 26 = 1140412957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140413921) 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 11 ways as a sum of consecutive naturals, for example, 94625 + ... + 105993.

It is an arithmetic number, because the mean of its divisors is an integer number (104594525).

Almost surely, 21140413021 is an apocalyptic number.

1140413021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1140413021 is a deficient number, since it is larger than the sum of its proper divisors (114721279).

1140413021 is a wasteful number, since it uses less digits than its factorization.

1140413021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1140413021 is about 33770.0017915309. The cubic root of 1140413021 is about 1044.7700694492.

Adding to 1140413021 its reverse (1203140411), we get a palindrome (2343553432).

The spelling of 1140413021 in words is "one billion, one hundred forty million, four hundred thirteen thousand, twenty-one".

Divisors: 1 11 121 829 9119 11369 100309 125059 1375649 9424901 103673911 1140413021