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1140240113331 = 311217184773961
BaseRepresentation
bin10000100101111011100…
…110110101111010110011
311001000011021221022210120
4100211323212311322303
5122140202432111311
62231452530501323
7145244133022134
oct20457346657263
94030137838716
101140240113331
113aa6338aa800
12164ba0134843
13836a781b117
143d28b8d9c8b
151e9d85b7706
hex1097b9b5eb3

1140240113331 has 24 divisors (see below), whose sum is σ = 1769395460112. Its totient is φ = 650404339200.

The previous prime is 1140240113329. The next prime is 1140240113333. The reversal of 1140240113331 is 1333110420411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1140240113329) and next prime (1140240113333).

It is not a de Polignac number, because 1140240113331 - 21 = 1140240113329 is a prime.

It is a super-3 number, since 3×11402401133313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1140240113333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92380810 + ... + 92393151.

It is an arithmetic number, because the mean of its divisors is an integer number (73724810838).

Almost surely, 21140240113331 is an apocalyptic number.

1140240113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1140240113331 is a deficient number, since it is larger than the sum of its proper divisors (629155346781).

1140240113331 is a wasteful number, since it uses less digits than its factorization.

1140240113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184774003 (or 184773992 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1140240113331 its reverse (1333110420411), we get a palindrome (2473350533742).

The spelling of 1140240113331 in words is "one trillion, one hundred forty billion, two hundred forty million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 184773961 554321883 2032513571 3141157337 6097540713 9423472011 22357649281 34552730707 67072947843 103658192121 380080037777 1140240113331