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12112000101 = 321345777789
BaseRepresentation
bin10110100011110111…
…00111010001100101
31011021002212100121100
423101323213101211
5144301133000401
65321510110313
7606101205435
oct132173472145
934232770540
1012112000101
1151559a9a43
12242034b399
1311b041a386
1482c8542c5
154ad4e5b86
hex2d1ee7465

12112000101 has 6 divisors (see below), whose sum is σ = 17495111270. Its totient is φ = 8074666728.

The previous prime is 12112000099. The next prime is 12112000127. The reversal of 12112000101 is 10100021121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9152748900 + 2959251201 = 95670^2 + 54399^2 .

It is not a de Polignac number, because 12112000101 - 21 = 12112000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1345777789 = 12112000101 / (1 + 2 + 1 + 1 + 2 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672888886 + ... + 672888903.

Almost surely, 212112000101 is an apocalyptic number.

It is an amenable number.

12112000101 is a deficient number, since it is larger than the sum of its proper divisors (5383111169).

12112000101 is a wasteful number, since it uses less digits than its factorization.

12112000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345777795 (or 1345777792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12112000101 its reverse (10100021121), we get a palindrome (22212021222).

The spelling of 12112000101 in words is "twelve billion, one hundred twelve million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 1345777789 4037333367 12112000101