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111314243040 = 253571113271251
BaseRepresentation
bin110011110101011011…
…0001000110111100000
3101122022200101102220020
41213222312020313200
53310432421234130
6123045334313440
711020320311550
oct1475266106740
9348280342806
10111314243040
1143231a96390
12196a6ab8880
13a65c880b00
14555d971160
152d6769ce10
hex19ead88de0

111314243040 has 1152 divisors, whose sum is σ = 481955733504. Its totient is φ = 20966400000.

The previous prime is 111314242987. The next prime is 111314243041. The reversal of 111314243040 is 40342413111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111314243040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111314243041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 443482915 + ... + 443483165.

It is an arithmetic number, because the mean of its divisors is an integer number (418364352).

Almost surely, 2111314243040 is an apocalyptic number.

111314243040 is a gapful number since it is divisible by the number (10) 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 111314243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240977866752).

111314243040 is an abundant number, since it is smaller than the sum of its proper divisors (370641490464).

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

111314243040 is a wasteful number, since it uses less digits than its factorization.

111314243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 111314243040 its reverse (40342413111), we get a palindrome (151656656151).

The spelling of 111314243040 in words is "one hundred eleven billion, three hundred fourteen million, two hundred forty-three thousand, forty".