Search a number
-
+
2000871331 is a prime number
BaseRepresentation
bin111011101000010…
…1101111110100011
312011102222210110121
41313100231332203
513044210340311
6530313341111
7100404061054
oct16720557643
95142883417
102000871331
11937492278
1247a107797
1325b6c0b44
1414da4472b
15ba9d5b71
hex7742dfa3

2000871331 has 2 divisors, whose sum is σ = 2000871332. Its totient is φ = 2000871330.

The previous prime is 2000871329. The next prime is 2000871359. The reversal of 2000871331 is 1331780002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2000871331 - 21 = 2000871329 is a prime.

It is a super-2 number, since 2×20008713312 = 8006972166435423122, which contains 22 as substring.

Together with 2000871329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2000871296 and 2000871305.

It is not a weakly prime, because it can be changed into another prime (2000871371) 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, 1000435665 + 1000435666.

It is an arithmetic number, because the mean of its divisors is an integer number (1000435666).

Almost surely, 22000871331 is an apocalyptic number.

2000871331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000871331 is an equidigital number, since it uses as much as digits as its factorization.

2000871331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2000871331 is about 44731.1002659224. The cubic root of 2000871331 is about 1260.1039913751.

The spelling of 2000871331 in words is "two billion, eight hundred seventy-one thousand, three hundred thirty-one".