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112050691200 = 2733527319199
BaseRepresentation
bin110100001011010111…
…1011101110010000000
3101201020000010212212000
41220112233131302000
53313434434104300
6123250403104000
711044502106000
oct1502657356200
9351200125760
10112050691200
114357a76a828
1219871672000
13a749312156
1455cd6b6000
152dac16ec00
hex1a16bddc80

112050691200 has 1536 divisors, whose sum is σ = 505920000000. Its totient is φ = 24141680640.

The previous prime is 112050691199. The next prime is 112050691211. The reversal of 112050691200 is 2196050211.

112050691200 is a `hidden beast` number, since 11 + 20 + 506 + 9 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 563068701 + ... + 563068899.

It is an arithmetic number, because the mean of its divisors is an integer number (329375000).

Almost surely, 2112050691200 is an apocalyptic number.

112050691200 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 112050691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960000000).

112050691200 is an abundant number, since it is smaller than the sum of its proper divisors (393869308800).

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

112050691200 is a wasteful number, since it uses less digits than its factorization.

112050691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 112050691200 in words is "one hundred twelve billion, fifty million, six hundred ninety-one thousand, two hundred".