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12132011331 = 331140848523
BaseRepresentation
bin10110100110001111…
…11100110101000011
31011022111112000212000
423103013330311003
5144321243330311
65323503035043
7606433252266
oct132307746503
934274460760
1012132011331
115166227750
122426b9ba83
1311b460593b
14831382cdd
154b014a056
hex2d31fcd43

12132011331 has 16 divisors (see below), whose sum is σ = 19607291520. Its totient is φ = 7352733960.

The previous prime is 12132011327. The next prime is 12132011341. The reversal of 12132011331 is 13311023121.

12132011331 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 11 + 331 = 666.

It is not a de Polignac number, because 12132011331 - 22 = 12132011327 is a prime.

It is a super-3 number, since 3×121320113313 (a number of 31 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 (12132011321) 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, 20423965 + ... + 20424558.

It is an arithmetic number, because the mean of its divisors is an integer number (1225455720).

Almost surely, 212132011331 is an apocalyptic number.

12132011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12132011331 is a deficient number, since it is larger than the sum of its proper divisors (7475280189).

12132011331 is a wasteful number, since it uses less digits than its factorization.

12132011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40848543 (or 40848537 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12132011331 its reverse (13311023121), we get a palindrome (25443034452).

It can be divided in two parts, 121320 and 11331, that added together give a cube (132651 = 513).

The spelling of 12132011331 in words is "twelve billion, one hundred thirty-two million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 40848523 122545569 367636707 449333753 1102910121 1348001259 4044003777 12132011331