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112021200000 = 27325529237
BaseRepresentation
bin110100001010011111…
…0111101110010000000
3101201010221122120112100
41220110332331302000
53313404411400000
6123243431030400
711043663326553
oct1502476756200
9351127576470
10112021200000
1143565057636
121986380b400
13a743187938
1455c97da69a
152da9796a00
hex1a14fbdc80

112021200000 has 864 divisors, whose sum is σ = 428565812220. Its totient is φ = 28062720000.

The previous prime is 112021199999. The next prime is 112021200017. The reversal of 112021200000 is 2120211.

It can be written as a sum of positive squares in 18 ways, for example, as 67446167616 + 44575032384 = 259704^2 + 211128^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3027599982 + ... + 3027600018.

Almost surely, 2112021200000 is an apocalyptic number.

112021200000 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 112021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214282906110).

112021200000 is an abundant number, since it is smaller than the sum of its proper divisors (316544612220).

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

112021200000 is an frugal number, since it uses more digits than its factorization.

112021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112021200000 its reverse (2120211), we get a palindrome (112023320211).

The spelling of 112021200000 in words is "one hundred twelve billion, twenty-one million, two hundred thousand".