Search a number
-
+
11001111000024 = 23317191314094881
BaseRepresentation
bin1010000000010110010101…
…0100000011001111011000
31102221200210100012022211110
42200011211110003033120
52420220233404000044
635221501324100320
72213542533422415
oct240054524031730
942850710168743
1011001111000024
1135615aa3a7752
1212981099946a0
1361a528656812
142a0656d3910c
1514126deb46b9
hexa01655033d8

11001111000024 has 64 divisors (see below), whose sum is σ = 29135812479840. Its totient is φ = 3449524551680.

The previous prime is 11001111000023. The next prime is 11001111000043. The reversal of 11001111000024 is 42000011110011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11001110999973 and 11001111000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111000023) 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 15 ways as a sum of consecutive naturals, for example, 6266937 + ... + 7827944.

Almost surely, 211001111000024 is an apocalyptic number.

It is an amenable number.

11001111000024 is an abundant number, since it is smaller than the sum of its proper divisors (18134701479816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11001111000024 is a wasteful number, since it uses less digits than its factorization.

11001111000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096820 (or 14096816 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001111000024 its reverse (42000011110011), we get a palindrome (53001122110035).

The spelling of 11001111000024 in words is "eleven trillion, one billion, one hundred eleven million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1913 3826 5739 7652 11478 15304 22956 32521 45912 65042 97563 130084 195126 260168 390252 780504 14094881 28189762 42284643 56379524 84569286 112759048 169138572 239612977 338277144 479225954 718838931 958451908 1437677862 1916903816 2875355724 5750711448 26963507353 53927014706 80890522059 107854029412 161781044118 215708058824 323562088236 458379625001 647124176472 916759250002 1375138875003 1833518500004 2750277750006 3667037000008 5500555500012 11001111000024