Search a number
-
+
13043022057 = 3313316717891
BaseRepresentation
bin11000010010110110…
…01011100011101001
31020122222202011122000
430021123023203221
5203203003201212
65554125121213
7641134600242
oct141133134351
936588664560
1013043022057
11559349a57a
1226400b9209
1312cb285c40
148ba367cc9
155150ee1dc
hex3096cb8e9

13043022057 has 64 divisors (see below), whose sum is σ = 21802475520. Its totient is φ = 7651195200.

The previous prime is 13043022053. The next prime is 13043022059. The reversal of 13043022057 is 75022034031.

13043022057 is a `hidden beast` number, since 1 + 3 + 0 + 430 + 220 + 5 + 7 = 666.

13043022057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13043022057 - 22 = 13043022053 is a prime.

It is a super-2 number, since 2×130430220572 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13043022057.

It is not an unprimeable number, because it can be changed into a prime (13043022053) 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 63 ways as a sum of consecutive naturals, for example, 720082 + ... + 737972.

It is an arithmetic number, because the mean of its divisors is an integer number (340663680).

Almost surely, 213043022057 is an apocalyptic number.

It is an amenable number.

13043022057 is a deficient number, since it is larger than the sum of its proper divisors (8759453463).

13043022057 is a wasteful number, since it uses less digits than its factorization.

13043022057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18011 (or 18005 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 13043022057 its reverse (75022034031), we get a palindrome (88065056088).

The spelling of 13043022057 in words is "thirteen billion, forty-three million, twenty-two thousand, fifty-seven".

Divisors: 1 3 9 13 27 31 39 67 93 117 201 279 351 403 603 837 871 1209 1809 2077 2613 3627 6231 7839 10881 17891 18693 23517 27001 53673 56079 81003 161019 232583 243009 483057 554621 697749 729027 1198697 1663863 2093247 3596091 4991589 6279741 7210073 10788273 14974767 15583061 21630219 32364819 37159607 46749183 64890657 111478821 140247549 194671971 334436463 420742647 483074891 1003309389 1449224673 4347674019 13043022057