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1140304121 = 11217232609
BaseRepresentation
bin100001111110111…
…1010100011111001
32221110200110011222
41003331322203321
54313404212441
6305052401425
740154265545
oct10375724371
92843613158
101140304121
11535743400
12279a76275
13152322a88
14ab630a25
156a197d4b
hex43f7a8f9

1140304121 has 18 divisors (see below), whose sum is σ = 1331498910. Its totient is φ = 975631360.

The previous prime is 1140304043. The next prime is 1140304127. The reversal of 1140304121 is 1214030411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 554131600 + 586172521 = 23540^2 + 24211^2 .

It is a de Polignac number, because none of the positive numbers 2k-1140304121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140304121.

It is not an unprimeable number, because it can be changed into a prime (1140304127) 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 17 ways as a sum of consecutive naturals, for example, 18665 + ... + 51273.

Almost surely, 21140304121 is an apocalyptic number.

1140304121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1140304121 is a deficient number, since it is larger than the sum of its proper divisors (191194789).

1140304121 is a wasteful number, since it uses less digits than its factorization.

1140304121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32665 (or 32637 counting only the distinct ones).

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

The square root of 1140304121 is about 33768.3893752723. The cubic root of 1140304121 is about 1044.7368127606.

Adding to 1140304121 its reverse (1214030411), we get a palindrome (2354334532).

The spelling of 1140304121 in words is "one billion, one hundred forty million, three hundred four thousand, one hundred twenty-one".

Divisors: 1 11 17 121 187 289 2057 3179 32609 34969 358699 554353 3945689 6097883 9424001 67076713 103664011 1140304121