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111342121440 = 253511149307461
BaseRepresentation
bin110011110110010000…
…0011111000111100000
3101122101121211210212120
41213230200133013200
53311012040341230
6123052212024240
711021106262644
oct1475440370740
9348347753776
10111342121440
11432467a7890
12196b4302080
13a6655921c4
14556354ac24
152d69d58310
hex19ec81f1e0

111342121440 has 384 divisors, whose sum is σ = 387272793600. Its totient is φ = 26665574400.

The previous prime is 111342121439. The next prime is 111342121441. The reversal of 111342121440 is 44121243111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111342121439) and next prime (111342121441).

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 111342121440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111342121441) 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, 241522810 + ... + 241523270.

It is an arithmetic number, because the mean of its divisors is an integer number (1008522900).

Almost surely, 2111342121440 is an apocalyptic number.

111342121440 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 111342121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193636396800).

111342121440 is an abundant number, since it is smaller than the sum of its proper divisors (275930672160).

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

111342121440 is a wasteful number, since it uses less digits than its factorization.

111342121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111342121440 its reverse (44121243111), we get a palindrome (155463364551).

The spelling of 111342121440 in words is "one hundred eleven billion, three hundred forty-two million, one hundred twenty-one thousand, four hundred forty".