Search a number
-
+
11123043432 = 2332353380197
BaseRepresentation
bin10100101101111110…
…00010110001101000
31001201011222011002120
422112333002301220
5140234444342212
65035421231240
7542432211024
oct122677026150
931634864076
1011123043432
114798739186
1221a5102520
131083578907
1477737d384
1545179688c
hex296fc2c68

11123043432 has 64 divisors (see below), whose sum is σ = 29564196480. Its totient is φ = 3479553792.

The previous prime is 11123043431. The next prime is 11123043457. The reversal of 11123043432 is 23434032111.

It is a happy number.

11123043432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11123043431) 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, 160843 + ... + 219354.

It is an arithmetic number, because the mean of its divisors is an integer number (461940570).

Almost surely, 211123043432 is an apocalyptic number.

11123043432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11123043432 is an abundant number, since it is smaller than the sum of its proper divisors (18441153048).

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

11123043432 is a wasteful number, since it uses less digits than its factorization.

11123043432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380282 (or 380278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11123043432 its reverse (23434032111), we get a palindrome (34557075543).

The spelling of 11123043432 in words is "eleven billion, one hundred twenty-three million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 3657 4876 7314 9752 14628 29256 380197 760394 1140591 1520788 2281182 3041576 4562364 8744531 9124728 17489062 20150441 26233593 34978124 40300882 52467186 60451323 69956248 80601764 104934372 120902646 161203528 209868744 241805292 463460143 483610584 926920286 1390380429 1853840572 2780760858 3707681144 5561521716 11123043432