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12132321211131 = 3111915233680399
BaseRepresentation
bin1011000010001100011010…
…1100100011001011111011
31120221211122022210002110220
42300203012230203023323
53042233443212224011
641445302244511123
72361350141523162
oct260430654431373
946854568702426
1012132321211131
11395831a042240
12143b3a99ab4a3
136a00c4455014
142dd2c94783d9
151608c9945506
hexb08c6b232fb

12132321211131 has 32 divisors (see below), whose sum is σ = 17773328793600. Its totient is φ = 7300437472800.

The previous prime is 12132321211123. The next prime is 12132321211139. The reversal of 12132321211131 is 13111212323121.

12132321211131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12132321211123) and next prime (12132321211139).

It is not a de Polignac number, because 12132321211131 - 23 = 12132321211123 is a prime.

It is a super-2 number, since 2×121323212111312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12132321211139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456270 + ... + 5136668.

It is an arithmetic number, because the mean of its divisors is an integer number (555416524800).

Almost surely, 212132321211131 is an apocalyptic number.

12132321211131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12132321211131 is a deficient number, since it is larger than the sum of its proper divisors (5641007582469).

12132321211131 is a wasteful number, since it uses less digits than its factorization.

12132321211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681127.

The product of its digits is 432, while the sum is 24.

Adding to 12132321211131 its reverse (13111212323121), we get a palindrome (25243533534252).

The spelling of 12132321211131 in words is "twelve trillion, one hundred thirty-two billion, three hundred twenty-one million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 11 33 191 523 573 1569 2101 5753 6303 17259 99893 299679 1098823 3296469 3680399 11041197 40484389 121453167 702956209 1924848677 2108868627 5774546031 7732518299 21173335447 23197554897 63520006341 367646097307 1102938291921 4044107070377 12132321211131