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111134023000 = 235371121310093
BaseRepresentation
bin110011110000000011…
…0101001110101011000
3101121212010021022110221
41213200012221311120
53310100302214000
6123015415445424
711013001415650
oct1474006516530
9347763238427
10111134023000
114314a293400
1219656686874
13a631430a30
145543a5b360
152d5694e61a
hex19e01a9d58

111134023000 has 384 divisors, whose sum is σ = 351842924160. Its totient is φ = 31971456000.

The previous prime is 111134022997. The next prime is 111134023043. The reversal of 111134023000 is 320431111.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11005954 + ... + 11016046.

It is an arithmetic number, because the mean of its divisors is an integer number (916257615).

Almost surely, 2111134023000 is an apocalyptic number.

111134023000 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 111134023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175921462080).

111134023000 is an abundant number, since it is smaller than the sum of its proper divisors (240708901160).

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

111134023000 is a wasteful number, since it uses less digits than its factorization.

111134023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 111134023000 its reverse (320431111), we get a palindrome (111454454111).

The spelling of 111134023000 in words is "one hundred eleven billion, one hundred thirty-four million, twenty-three thousand".