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12000101 = 53257881
BaseRepresentation
bin101101110001…
…101101100101
3211120200001012
4231301231211
511033000401
61105112005
7203666501
oct55615545
924520035
1012000101
116856943
124028605
132642069
141845301
1510c08bb
hexb71b65

12000101 has 8 divisors (see below), whose sum is σ = 12288024. Its totient is φ = 11714560.

The previous prime is 12000097. The next prime is 12000127. The reversal of 12000101 is 10100021.

12000101 = 24492 + 24502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4519876 + 7480225 = 2126^2 + 2735^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12000101 - 22 = 12000097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12060101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13181 + ... + 14061.

It is an arithmetic number, because the mean of its divisors is an integer number (1536003).

Almost surely, 212000101 is an apocalyptic number.

12000101 is the 2450-th centered square number.

It is an amenable number.

12000101 is a deficient number, since it is larger than the sum of its proper divisors (287923).

12000101 is an equidigital number, since it uses as much as digits as its factorization.

12000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 12000101 is about 3464.1161932014. The cubic root of 12000101 is about 228.9434908207.

Adding to 12000101 its reverse (10100021), we get a palindrome (22100122).

Multiplying 12000101 by its reverse (10100021), we get a palindrome (121201272102121).

The spelling of 12000101 in words is "twelve million, one hundred one", and thus it is an aban number.

Divisors: 1 53 257 881 13621 46693 226417 12000101