Search a number
-
+
203330212000 = 2553235933727
BaseRepresentation
bin1011110101011101101…
…1001101000010100000
3201102211102122222112121
42331113123031002200
511312410013241000
6233224132034024
720455466166616
oct2752733150240
9642742588477
10203330212000
1179260670823
12334a6a62914
131623524bb16
149bac4c36b6
1554509e3b1a
hex2f576cd0a0

203330212000 has 192 divisors, whose sum is σ = 522322504704. Its totient is φ = 77643878400.

The previous prime is 203330211967. The next prime is 203330212031. The reversal of 203330212000 is 212033302.

203330212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2033302120002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54554137 + ... + 54557863.

It is an arithmetic number, because the mean of its divisors is an integer number (2720429712).

Almost surely, 2203330212000 is an apocalyptic number.

203330212000 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 203330212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261161252352).

203330212000 is an abundant number, since it is smaller than the sum of its proper divisors (318992292704).

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

203330212000 is a wasteful number, since it uses less digits than its factorization.

203330212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 203330212000 its reverse (212033302), we get a palindrome (203542245302).

The spelling of 203330212000 in words is "two hundred three billion, three hundred thirty million, two hundred twelve thousand".