Search a number
-
+
202102334304 = 253131095872531
BaseRepresentation
bin1011110000111000111…
…1001110001101100000
3201022122212012022222220
42330032033032031200
511302401144144204
6232502230231040
720413166332353
oct2741617161540
9638585168886
10202102334304
1178790554072
12332037b5480
131609aa46680
149ad33b829a
1553ccced1d9
hex2f0e3ce360

202102334304 has 192 divisors, whose sum is σ = 577779713280. Its totient is φ = 61485557760.

The previous prime is 202102334293. The next prime is 202102334327. The reversal of 202102334304 is 403433201202.

202102334304 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 2×2021023343042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 79849519 + ... + 79852049.

It is an arithmetic number, because the mean of its divisors is an integer number (3009269340).

Almost surely, 2202102334304 is an apocalyptic number.

202102334304 is a gapful number since it is divisible by the number (24) 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 202102334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288889856640).

202102334304 is an abundant number, since it is smaller than the sum of its proper divisors (375677378976).

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

202102334304 is a wasteful number, since it uses less digits than its factorization.

202102334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 202102334304 its reverse (403433201202), we get a palindrome (605535535506).

The spelling of 202102334304 in words is "two hundred two billion, one hundred two million, three hundred thirty-four thousand, three hundred four".