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112271022000 = 2434534371227
BaseRepresentation
bin110100010001111011…
…1111101011110110000
3101201210100201211220000
41220203313331132300
53314412340201000
6123324313350000
711053115640564
oct1504367753660
9351710654800
10112271022000
11436830795a5
1219913408300
13a782b672c7
145610a6b6a4
152dc1693000
hex1a23dfd7b0

112271022000 has 800 divisors, whose sum is σ = 422660519424. Its totient is φ = 28703808000.

The previous prime is 112271021987. The next prime is 112271022029. The reversal of 112271022000 is 220172211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494585887 + ... + 494586113.

Almost surely, 2112271022000 is an apocalyptic number.

112271022000 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 112271022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211330259712).

112271022000 is an abundant number, since it is smaller than the sum of its proper divisors (310389497424).

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

112271022000 is a wasteful number, since it uses less digits than its factorization.

112271022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 112271022000 its reverse (220172211), we get a palindrome (112491194211).

The spelling of 112271022000 in words is "one hundred twelve billion, two hundred seventy-one million, twenty-two thousand".