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111375138888 = 233313711394019
BaseRepresentation
bin110011110111001111…
…0011100000001001000
3101122110220222021022000
41213232132130001020
53311044013421023
6123055351431000
711021660026506
oct1475636340110
9348426867260
10111375138888
11432633a9332
1219703385460
13a66c382760
145567aa3676
152d6cbcb243
hex19ee79c048

111375138888 has 256 divisors, whose sum is σ = 340381440000. Its totient is φ = 33535192320.

The previous prime is 111375138883. The next prime is 111375138911. The reversal of 111375138888 is 888831573111.

111375138888 is a `hidden beast` number, since 1 + 1 + 137 + 51 + 388 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (111375138881) 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, 27710143 + ... + 27714161.

It is an arithmetic number, because the mean of its divisors is an integer number (1329615000).

Almost surely, 2111375138888 is an apocalyptic number.

111375138888 is a gapful number since it is divisible by the number (18) 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 111375138888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170190720000).

111375138888 is an abundant number, since it is smaller than the sum of its proper divisors (229006301112).

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

111375138888 is a wasteful number, since it uses less digits than its factorization.

111375138888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4247 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 111375138888 in words is "one hundred eleven billion, three hundred seventy-five million, one hundred thirty-eight thousand, eight hundred eighty-eight".