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12132112213 = 132932180669
BaseRepresentation
bin10110100110010000…
…10101011101010101
31011022111201011020101
423103020111131111
5144321310042323
65323505134101
7606434152354
oct132310253525
934274634211
1012132112213
115166296521
12242702a331
1311b463c830
148313ab99b
154b0169dad
hex2d3215755

12132112213 has 8 divisors (see below), whose sum is σ = 13515881400. Its totient is φ = 10812704448.

The previous prime is 12132112193. The next prime is 12132112231. The reversal of 12132112213 is 31221123121.

12132112213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106357969 + 12025754244 = 10313^2 + 109662^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12132112213 - 221 = 12130015061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132112253) 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 7 ways as a sum of consecutive naturals, for example, 16089958 + ... + 16090711.

It is an arithmetic number, because the mean of its divisors is an integer number (1689485175).

Almost surely, 212132112213 is an apocalyptic number.

12132112213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12132112213 is a deficient number, since it is larger than the sum of its proper divisors (1383769187).

12132112213 is a wasteful number, since it uses less digits than its factorization.

12132112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32180711.

The product of its digits is 144, while the sum is 19.

Adding to 12132112213 its reverse (31221123121), we get a palindrome (43353235334).

The spelling of 12132112213 in words is "twelve billion, one hundred thirty-two million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 13 29 377 32180669 418348697 933239401 12132112213