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111230427672 = 233272133178233
BaseRepresentation
bin110011110010111011…
…0011010001000011000
3101122002211200011211100
41213211312122020120
53310244442141142
6123033142031400
711015252015100
oct1474566321030
9348084604740
10111230427672
1143199749691
1219682a18560
13a6483b5c10
145552794200
152d60143b4c
hex19e5d9a218

111230427672 has 288 divisors, whose sum is σ = 389567767680. Its totient is φ = 28388828160.

The previous prime is 111230427667. The next prime is 111230427683. The reversal of 111230427672 is 276724032111.

111230427672 is a `hidden beast` number, since 1 + 1 + 12 + 304 + 276 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1382668 + ... + 1460900.

It is an arithmetic number, because the mean of its divisors is an integer number (1352665860).

Almost surely, 2111230427672 is an apocalyptic number.

111230427672 is a gapful number since it is divisible by the number (12) 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 111230427672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194783883840).

111230427672 is an abundant number, since it is smaller than the sum of its proper divisors (278337340008).

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

111230427672 is a wasteful number, since it uses less digits than its factorization.

111230427672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78303 (or 78289 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 111230427672 its reverse (276724032111), we get a palindrome (387954459783).

The spelling of 111230427672 in words is "one hundred eleven billion, two hundred thirty million, four hundred twenty-seven thousand, six hundred seventy-two".