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2030011200 = 26335273137
BaseRepresentation
bin111100011111111…
…1000001101000000
312020110211020212000
41320333320031000
513124140324300
6533234104000
7101206545000
oct17077701500
95213736760
102030011200
11951985508
12487a1b000
13264754479
1415386c000
15bd33ec00
hex78ff8340

2030011200 has 672 divisors, whose sum is σ = 8692896000. Its totient is φ = 460615680.

The previous prime is 2030011189. The next prime is 2030011219. The reversal of 2030011200 is 21100302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 14817532 + ... + 14817668.

Almost surely, 22030011200 is an apocalyptic number.

2030011200 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 2030011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346448000).

2030011200 is an abundant number, since it is smaller than the sum of its proper divisors (6662884800).

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

2030011200 is a wasteful number, since it uses less digits than its factorization.

2030011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2030011200 is about 45055.6455951971. The cubic root of 2030011200 is about 1266.1917456253.

Adding to 2030011200 its reverse (21100302), we get a palindrome (2051111502).

The spelling of 2030011200 in words is "two billion, thirty million, eleven thousand, two hundred".