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200001001200 = 24352711133141131
BaseRepresentation
bin1011101001000011111…
…1010001011011110000
3201010020102011112212220
42322100333101123300
511234100224014300
6231513523321040
720310132313650
oct2722077213360
9633212145786
10200001001200
1177902395440
1232917b20180
1315b245acac0
1499742a2360
1553085c0da0
hex2e90fd16f0

200001001200 has 1920 divisors, whose sum is σ = 916549337088. Its totient is φ = 35942400000.

The previous prime is 200001001199. The next prime is 200001001217. The reversal of 200001001200 is 2100100002.

It is a happy number.

200001001200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1526725135 + ... + 1526725265.

Almost surely, 2200001001200 is an apocalyptic number.

200001001200 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 200001001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458274668544).

200001001200 is an abundant number, since it is smaller than the sum of its proper divisors (716548335888).

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

200001001200 is a wasteful number, since it uses less digits than its factorization.

200001001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

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

Adding to 200001001200 its reverse (2100100002), we get a palindrome (202101101202).

The spelling of 200001001200 in words is "two hundred billion, one million, one thousand, two hundred".