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112066219008 = 21037163307
BaseRepresentation
bin110100001011110101…
…0101100110000000000
3101201021002100210000000
41220113222230300000
53314002423002013
6123252120000000
711045051100402
oct1502752546000
9351232323000
10112066219008
1143588506027
1219876900000
13a74c5baac3
1455d1798b72
152dad6da973
hex1a17aacc00

112066219008 has 352 divisors, whose sum is σ = 339145649920. Its totient is φ = 37005299712.

The previous prime is 112066218967. The next prime is 112066219073. The reversal of 112066219008 is 800912660211.

112066219008 is a `hidden beast` number, since 1 + 1 + 20 + 6 + 621 + 9 + 0 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365036391 + ... + 365036697.

It is an arithmetic number, because the mean of its divisors is an integer number (963481960).

Almost surely, 2112066219008 is an apocalyptic number.

112066219008 is a gapful number since it is divisible by the number (18) 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 112066219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169572824960).

112066219008 is an abundant number, since it is smaller than the sum of its proper divisors (227079430912).

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

112066219008 is an frugal number, since it uses more digits than its factorization.

112066219008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 112066219008 its reverse (800912660211), we get a palindrome (912978879219).

The spelling of 112066219008 in words is "one hundred twelve billion, sixty-six million, two hundred nineteen thousand, eight".