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2183132191 is a prime number
BaseRepresentation
bin1000001000011111…
…1111010000011111
312122010221121100211
42002013333100133
513432340212231
61000344033251
7105046213612
oct20207772037
95563847324
102183132191
11a20359589
1250b162827
1328a3a6ac6
14169d2a179
15cb9d8eb1
hex821ff41f

2183132191 has 2 divisors, whose sum is σ = 2183132192. Its totient is φ = 2183132190.

The previous prime is 2183132143. The next prime is 2183132213. The reversal of 2183132191 is 1912313812.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2183132191 - 227 = 2048914463 is a prime.

It is a super-3 number, since 3×21831321913 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2183132131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1091566095 + 1091566096.

It is an arithmetic number, because the mean of its divisors is an integer number (1091566096).

Almost surely, 22183132191 is an apocalyptic number.

2183132191 is a deficient number, since it is larger than the sum of its proper divisors (1).

2183132191 is an equidigital number, since it uses as much as digits as its factorization.

2183132191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 31.

The square root of 2183132191 is about 46724.0001605171. Note that the first 3 decimals coincide. The cubic root of 2183132191 is about 1297.2589565383.

The spelling of 2183132191 in words is "two billion, one hundred eighty-three million, one hundred thirty-two thousand, one hundred ninety-one".