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111300343000 = 23537111785027
BaseRepresentation
bin110011110101000000…
…1000111010011011000
3101122021201020020121221
41213222001013103120
53310420341434000
6123044120341424
711020061206630
oct1475201072330
9348251206557
10111300343000
1143225162050
12196a2314874
13a659a25032
14555bb936c0
152d6635461a
hex19ea0474d8

111300343000 has 256 divisors, whose sum is σ = 343812418560. Its totient is φ = 32649984000.

The previous prime is 111300342977. The next prime is 111300343003. The reversal of 111300343000 is 343003111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111300343003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266487 + ... + 1351513.

It is an arithmetic number, because the mean of its divisors is an integer number (1343017260).

Almost surely, 2111300343000 is an apocalyptic number.

111300343000 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 111300343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171906209280).

111300343000 is an abundant number, since it is smaller than the sum of its proper divisors (232512075560).

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

111300343000 is a wasteful number, since it uses less digits than its factorization.

111300343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85083 (or 85069 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 111300343000 its reverse (343003111), we get a palindrome (111643346111).

The spelling of 111300343000 in words is "one hundred eleven billion, three hundred million, three hundred forty-three thousand".