Search a number
-
+
111104933472 = 25331331615231
BaseRepresentation
bin110011101111001011…
…1101011111001100000
3101121210002112102011000
41213132113223321200
53310020330332342
6123012500152000
711012166231561
oct1473627537140
9347702472130
10111104933472
1143134924a75
1219648998600
13a6283b72b0
14553dc48168
152d5410544c
hex19de5ebe60

111104933472 has 384 divisors, whose sum is σ = 366216560640. Its totient is φ = 32534784000.

The previous prime is 111104933449. The next prime is 111104933473. The reversal of 111104933472 is 274339401111.

It is a happy number.

111104933472 is a `hidden beast` number, since 1 + 1 + 110 + 49 + 33 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111104933473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21237097 + ... + 21242327.

It is an arithmetic number, because the mean of its divisors is an integer number (953688960).

Almost surely, 2111104933472 is an apocalyptic number.

111104933472 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 111104933472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183108280320).

111104933472 is an abundant number, since it is smaller than the sum of its proper divisors (255111627168).

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

111104933472 is a wasteful number, since it uses less digits than its factorization.

111104933472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 111104933472 in words is "one hundred eleven billion, one hundred four million, nine hundred thirty-three thousand, four hundred seventy-two".