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12032012331 = 329859135601
BaseRepresentation
bin10110011010010100…
…11111000000101011
31011001112100120000100
423031022133000223
5144120143343311
65305531440443
7604110263103
oct131512370053
934045316010
1012032012331
115114836a49
1223b95b6123
131199992731
14821d92203
154a6495a56
hex2cd29f02b

12032012331 has 12 divisors (see below), whose sum is σ = 17381464360. Its totient is φ = 8020468800.

The previous prime is 12032012329. The next prime is 12032012341. The reversal of 12032012331 is 13321023021.

12032012331 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 12 + 331 = 666.

12032012331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12032012331 - 21 = 12032012329 is a prime.

It is a super-2 number, since 2×120320123312 (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 (12032012341) 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, 20931 + ... + 156531.

Almost surely, 212032012331 is an apocalyptic number.

12032012331 is a deficient number, since it is larger than the sum of its proper divisors (5349452029).

12032012331 is a wasteful number, since it uses less digits than its factorization.

12032012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145466 (or 145463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12032012331 its reverse (13321023021), we get a palindrome (25353035352).

It can be divided in two parts, 120320 and 12331, that added together give a cube (132651 = 513).

The spelling of 12032012331 in words is "twelve billion, thirty-two million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 9859 29577 88731 135601 406803 1220409 1336890259 4010670777 12032012331