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1820810013 = 31155176061
BaseRepresentation
bin110110010000111…
…0101101100011101
311200220011201202220
41230201311230131
512212111410023
6500402135553
763056426001
oct15441655435
94626151686
101820810013
11854888570
124299515b9
132302c8099
14133b72701
15a9cb93e3
hex6c875b1d

1820810013 has 8 divisors (see below), whose sum is σ = 2648450976. Its totient is φ = 1103521200.

The previous prime is 1820809967. The next prime is 1820810039. The reversal of 1820810013 is 3100180281.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1820810013 - 214 = 1820793629 is a prime.

It is a super-3 number, since 3×18208100133 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820810053) 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 in 7 ways as a sum of consecutive naturals, for example, 27587998 + ... + 27588063.

It is an arithmetic number, because the mean of its divisors is an integer number (331056372).

Almost surely, 21820810013 is an apocalyptic number.

It is an amenable number.

1820810013 is a deficient number, since it is larger than the sum of its proper divisors (827640963).

1820810013 is a wasteful number, since it uses less digits than its factorization.

1820810013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55176075.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1820810013 is about 42670.9504581278. The cubic root of 1820810013 is about 1221.1102526410.

Adding to 1820810013 its reverse (3100180281), we get a palindrome (4920990294).

The spelling of 1820810013 in words is "one billion, eight hundred twenty million, eight hundred ten thousand, thirteen".

Divisors: 1 3 11 33 55176061 165528183 606936671 1820810013