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112022221102000 = 24531171273101137
BaseRepresentation
bin11001011110001000110100…
…101100100001101110110000
3112200122012221012022120110221
4121132020310230201232300
5104140333002100231000
61034130144204102424
732411224032336556
oct3136106454415660
9480565835276427
10112022221102000
113276a3a2442890
12106927a7234a14
134a6785b41c9a1
141d93c93a87bd6
15ce3e4d44561a
hex65e234b21bb0

112022221102000 has 960 divisors, whose sum is σ = 309068190048384. Its totient is φ = 38932992000000.

The previous prime is 112022221101949. The next prime is 112022221102037. The reversal of 112022221102000 is 201122220211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 817680445932 + ... + 817680446068.

Almost surely, 2112022221102000 is an apocalyptic number.

112022221102000 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 112022221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154534095024192).

112022221102000 is an abundant number, since it is smaller than the sum of its proper divisors (197045968946384).

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

112022221102000 is a wasteful number, since it uses less digits than its factorization.

112022221102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112022221102000 its reverse (201122220211), we get a palindrome (112223343322211).

It can be divided in two parts, 1120222 and 21102000, that added together give a palindrome (22222222).

The spelling of 112022221102000 in words is "one hundred twelve trillion, twenty-two billion, two hundred twenty-one million, one hundred two thousand".