Search a number
-
+
5105005609011 = 37311451012069
BaseRepresentation
bin100101001001001101000…
…0010111100000000110011
3200002000220121200202100020
41022102122002330000303
51132120022413442021
614505112431054523
71034552540466000
oct112223202740063
920060817622306
105105005609011
111699025640810
126a5474071443
132b0527947619
141391255288a7
158cbd611e7c6
hex4a49a0bc033

5105005609011 has 32 divisors (see below), whose sum is σ = 8659431744000. Its totient is φ = 2651950959840.

The previous prime is 5105005609009. The next prime is 5105005609031. The reversal of 5105005609011 is 1109065005015.

It is not a de Polignac number, because 5105005609011 - 21 = 5105005609009 is a prime.

It is a super-2 number, since 2×51050056090112 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5105005609031) 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 31 ways as a sum of consecutive naturals, for example, 225494716 + ... + 225517353.

It is an arithmetic number, because the mean of its divisors is an integer number (270607242000).

Almost surely, 25105005609011 is an apocalyptic number.

5105005609011 is a deficient number, since it is larger than the sum of its proper divisors (3554426134989).

5105005609011 is a wasteful number, since it uses less digits than its factorization.

5105005609011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451012104 (or 451012090 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 33.

The spelling of 5105005609011 in words is "five trillion, one hundred five billion, five million, six hundred nine thousand, eleven".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 1029 1617 3773 11319 451012069 1353036207 3157084483 4961132759 9471253449 14883398277 22099591381 34727929313 66298774143 104183787939 154697139667 243095505191 464091419001 729286515573 1701668536337 5105005609011