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2009103581 is a prime number
BaseRepresentation
bin111011111000000…
…0111110011011101
312012000111000222202
41313300013303131
513103312303311
6531210021245
7100534045562
oct16760076335
95160430882
102009103581
119410a5291
12480a17825
13260313bb4
14150b88869
15bb5aee3b
hex77c07cdd

2009103581 has 2 divisors, whose sum is σ = 2009103582. Its totient is φ = 2009103580.

The previous prime is 2009103541. The next prime is 2009103599. The reversal of 2009103581 is 1853019002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1908903481 + 100200100 = 43691^2 + 10010^2 .

It is a cyclic number.

It is not a de Polignac number, because 2009103581 - 218 = 2008841437 is a prime.

It is a super-2 number, since 2×20091035812 = 8072994398374047122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2009103511) 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, 1004551790 + 1004551791.

It is an arithmetic number, because the mean of its divisors is an integer number (1004551791).

Almost surely, 22009103581 is an apocalyptic number.

It is an amenable number.

2009103581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2009103581 is an equidigital number, since it uses as much as digits as its factorization.

2009103581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 2009103581 is about 44823.0251210246. The cubic root of 2009103581 is about 1261.8297889794.

The spelling of 2009103581 in words is "two billion, nine million, one hundred three thousand, five hundred eighty-one".