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200000112000 = 2735313320513
BaseRepresentation
bin1011101001000011101…
…1111000010110000000
3201010020100111101010120
42322100323320112000
511234100012041000
6231513452300240
720310121621353
oct2722073702600
9633210441116
10200000112000
1177901938367
1232917771680
1315b2435b150
14997411029a
1553084976a0
hex2e90ef8580

200000112000 has 256 divisors, whose sum is σ = 714002627520. Its totient is φ = 49230643200.

The previous prime is 200000111963. The next prime is 200000112031. The reversal of 200000112000 is 211000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200000112000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463744 + ... + 784256.

Almost surely, 2200000112000 is an apocalyptic number.

200000112000 is a gapful number since it is divisible by the number (20) 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 200000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357001313760).

200000112000 is an abundant number, since it is smaller than the sum of its proper divisors (514002515520).

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

200000112000 is a wasteful number, since it uses less digits than its factorization.

200000112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320558 (or 320536 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200000112000 its reverse (211000002), we get a palindrome (200211112002).

The spelling of 200000112000 in words is "two hundred billion, one hundred twelve thousand".