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112302132133 is a prime number
BaseRepresentation
bin110100010010110111…
…0101000101110100101
3101201212112021101222011
41220211232220232211
53314443321212013
6123331344234221
711053644241642
oct1504556505645
9351775241864
10112302132133
1143699698054
121992190b971
13a78943a679
145614c48dc9
152dc428ac3d
hex1a25ba8ba5

112302132133 has 2 divisors, whose sum is σ = 112302132134. Its totient is φ = 112302132132.

The previous prime is 112302132097. The next prime is 112302132161. The reversal of 112302132133 is 331231203211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101297702529 + 11004429604 = 318273^2 + 104902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112302132133 is a prime.

It is a super-2 number, since 2×1123021321332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112302132233) 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, 56151066066 + 56151066067.

It is an arithmetic number, because the mean of its divisors is an integer number (56151066067).

Almost surely, 2112302132133 is an apocalyptic number.

It is an amenable number.

112302132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112302132133 is an equidigital number, since it uses as much as digits as its factorization.

112302132133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 112302132133 its reverse (331231203211), we get a palindrome (443533335344).

The spelling of 112302132133 in words is "one hundred twelve billion, three hundred two million, one hundred thirty-two thousand, one hundred thirty-three".