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112635100037 is a prime number
BaseRepresentation
bin110100011100110010…
…0110011101110000101
3101202201201210221001202
41220321210303232011
53321134041200122
6123424401032245
711065126360565
oct1507144635605
9352651727052
10112635100037
114384a639839
12199b5325685
13a81040c2b5
145647160da5
152de360ce92
hex1a39933b85

112635100037 has 2 divisors, whose sum is σ = 112635100038. Its totient is φ = 112635100036.

The previous prime is 112635100031. The next prime is 112635100177. The reversal of 112635100037 is 730001536211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95880645316 + 16754454721 = 309646^2 + 129439^2 .

It is a cyclic number.

It is not a de Polignac number, because 112635100037 - 218 = 112634837893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112635099982 and 112635100009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112635100031) 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 as a sum of consecutive naturals, namely, 56317550018 + 56317550019.

It is an arithmetic number, because the mean of its divisors is an integer number (56317550019).

Almost surely, 2112635100037 is an apocalyptic number.

It is an amenable number.

112635100037 is a deficient number, since it is larger than the sum of its proper divisors (1).

112635100037 is an equidigital number, since it uses as much as digits as its factorization.

112635100037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 112635100037 its reverse (730001536211), we get a palindrome (842636636248).

The spelling of 112635100037 in words is "one hundred twelve billion, six hundred thirty-five million, one hundred thousand, thirty-seven".