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12100000221 = 323741578741
BaseRepresentation
bin10110100010011011…
…10101100111011101
31011020021021200212100
423101031311213131
5144240100001341
65320400555313
7605564206401
oct132115654735
934207250770
1012100000221
11514a153291
122418322b39
1311aaaa845a
1482b00d101
154ac4253b6
hex2d13759dd

12100000221 has 24 divisors (see below), whose sum is σ = 17956522584. Its totient is φ = 7845863040.

The previous prime is 12100000201. The next prime is 12100000249. The reversal of 12100000221 is 12200000121.

It can be written as a sum of positive squares in 4 ways, for example, as 2068976196 + 10031024025 = 45486^2 + 100155^2 .

It is not a de Polignac number, because 12100000221 - 211 = 12099998173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100000201) 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, 1379911 + ... + 1388651.

It is an arithmetic number, because the mean of its divisors is an integer number (748188441).

Almost surely, 212100000221 is an apocalyptic number.

It is an amenable number.

12100000221 is a deficient number, since it is larger than the sum of its proper divisors (5856522363).

12100000221 is a wasteful number, since it uses less digits than its factorization.

12100000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12941 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100000221 its reverse (12200000121), we get a palindrome (24300000342).

The spelling of 12100000221 in words is "twelve billion, one hundred million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 4157 8741 12471 26223 37413 78669 153809 323417 461427 970251 1384281 2910753 36336337 109009011 327027033 1344444469 4033333407 12100000221