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202100230200 = 2335211251121997
BaseRepresentation
bin1011110000111000011…
…1001100100000111000
3201022122201020102201010
42330032013030200320
511302400124331300
6232502113153520
720413142420061
oct2741607144070
9638581212633
10202100230200
117878a347240
1233202b5b8a0
131609a48aa3b
149ad2dcb568
1553cca34a50
hex2f0e1cc838

202100230200 has 192 divisors, whose sum is σ = 686194830720. Its totient is φ = 48798400000.

The previous prime is 202100230193. The next prime is 202100230201. The reversal of 202100230200 is 2032001202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100230201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1595602 + ... + 1717598.

It is an arithmetic number, because the mean of its divisors is an integer number (3573931410).

Almost surely, 2202100230200 is an apocalyptic number.

202100230200 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 202100230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343097415360).

202100230200 is an abundant number, since it is smaller than the sum of its proper divisors (484094600520).

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

202100230200 is a wasteful number, since it uses less digits than its factorization.

202100230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122278 (or 122269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202100230200 its reverse (2032001202), we get a palindrome (204132231402).

The spelling of 202100230200 in words is "two hundred two billion, one hundred million, two hundred thirty thousand, two hundred".