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202011030000 = 2433541367859
BaseRepresentation
bin1011110000100011001…
…0111011000111110000
3201022102111101121001000
42330020302323013300
511302204310430000
6232445205242000
720411010265143
oct2741062730760
9638374347030
10202011030000
1178743a6186a
1233199103300
1316084b58b60
149ac520c05a
1553c4cb5000
hex2f08cbb1f0

202011030000 has 800 divisors, whose sum is σ = 792881196800. Its totient is φ = 48926592000.

The previous prime is 202011029999. The next prime is 202011030007. The reversal of 202011030000 is 30110202.

It is a happy number.

202011030000 is digitally balanced in base 2, 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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011030007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 235169571 + ... + 235170429.

It is an arithmetic number, because the mean of its divisors is an integer number (991101496).

Almost surely, 2202011030000 is an apocalyptic number.

202011030000 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 202011030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396440598400).

202011030000 is an abundant number, since it is smaller than the sum of its proper divisors (590870166800).

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

202011030000 is a wasteful number, since it uses less digits than its factorization.

202011030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 949 counting only the distinct ones).

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

Adding to 202011030000 its reverse (30110202), we get a palindrome (202041140202).

The spelling of 202011030000 in words is "two hundred two billion, eleven million, thirty thousand".