Search a number
-
+
111311023032 = 2332111035232609
BaseRepresentation
bin110011110101010100…
…1110110101110111000
3101122022110022211212200
41213222221312232320
53310431110214112
6123045141310200
711020251041016
oct1475251665670
9348273284780
10111311023032
1143230197120
12196a5a05360
13a65bcc4291
14555d3738b6
152d67263cdc
hex19eaa76bb8

111311023032 has 192 divisors, whose sum is σ = 332828870400. Its totient is φ = 33326484480.

The previous prime is 111311023001. The next prime is 111311023039. The reversal of 111311023032 is 230320113111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111311022996 and 111311023014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111311023039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42662944 + ... + 42665552.

It is an arithmetic number, because the mean of its divisors is an integer number (1733483700).

Almost surely, 2111311023032 is an apocalyptic number.

111311023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111311023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166414435200).

111311023032 is an abundant number, since it is smaller than the sum of its proper divisors (221517847368).

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

111311023032 is a wasteful number, since it uses less digits than its factorization.

111311023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111311023032 its reverse (230320113111), we get a palindrome (341631136143).

The spelling of 111311023032 in words is "one hundred eleven billion, three hundred eleven million, twenty-three thousand, thirty-two".