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12112100141 is a prime number
BaseRepresentation
bin10110100011110111…
…11111101100101101
31011021010001102211112
423101323333230231
5144301144201031
65321512201405
7606102103211
oct132173775455
934233042745
1012112100141
115155a68119
122420399265
1311b0453a7b
1482c87c941
154ad51562b
hex2d1effb2d

12112100141 has 2 divisors, whose sum is σ = 12112100142. Its totient is φ = 12112100140.

The previous prime is 12112100093. The next prime is 12112100149. The reversal of 12112100141 is 14100121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12005804041 + 106296100 = 109571^2 + 10310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12112100141 is a prime.

It is a super-2 number, since 2×121121001412 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112100149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056050070 + 6056050071.

It is an arithmetic number, because the mean of its divisors is an integer number (6056050071).

Almost surely, 212112100141 is an apocalyptic number.

It is an amenable number.

12112100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112100141 is an equidigital number, since it uses as much as digits as its factorization.

12112100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12112100141 its reverse (14100121121), we get a palindrome (26212221262).

The spelling of 12112100141 in words is "twelve billion, one hundred twelve million, one hundred thousand, one hundred forty-one".