Search a number
-
+
11123000032 = 251632132477
BaseRepresentation
bin10100101101111101…
…11000001011100000
31001201011212221120011
422112332320023200
5140234442000112
65035420254304
7542431640344
oct122676701340
931634787504
1011123000032
114798709611
1221a50a1394
131083561c31
1477736b624
15451788aa7
hex296fb82e0

11123000032 has 24 divisors (see below), whose sum is σ = 22032762696. Its totient is φ = 5527377792.

The previous prime is 11122999961. The next prime is 11123000041. The reversal of 11123000032 is 23000032111.

11123000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111230000322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122999976 and 11123000021.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1061023 + ... + 1071454.

It is an arithmetic number, because the mean of its divisors is an integer number (918031779).

Almost surely, 211123000032 is an apocalyptic number.

It is an amenable number.

11123000032 is a deficient number, since it is larger than the sum of its proper divisors (10909762664).

11123000032 is a wasteful number, since it uses less digits than its factorization.

11123000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132650 (or 2132642 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11123000032 its reverse (23000032111), we get a palindrome (34123032143).

It can be divided in two parts, 111 and 23000032, that multiplied together give a palindrome (2553003552).

The spelling of 11123000032 in words is "eleven billion, one hundred twenty-three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 163 326 652 1304 2608 5216 2132477 4264954 8529908 17059816 34119632 68239264 347593751 695187502 1390375004 2780750008 5561500016 11123000032