Search a number
-
+
202041240300 = 22345267372289
BaseRepresentation
bin1011110000101010011…
…0001010101011101100
3201022111121020102210000
42330022212022223230
511302240024142200
6232452204544300
720411525130624
oct2741246125354
9638447212700
10202041240300
117875a016259
12331a7252090
131608b1a5783
149ac9233884
1553c7781300
hex2f0a98aaec

202041240300 has 180 divisors, whose sum is σ = 664714860040. Its totient is φ = 53073377280.

The previous prime is 202041240299. The next prime is 202041240301. The reversal of 202041240300 is 3042140202.

202041240300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202041240299) and next prime (202041240301).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202041240301) 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 59 ways as a sum of consecutive naturals, for example, 356556 + ... + 728844.

Almost surely, 2202041240300 is an apocalyptic number.

202041240300 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 202041240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332357430020).

202041240300 is an abundant number, since it is smaller than the sum of its proper divisors (462673619740).

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

202041240300 is a wasteful number, since it uses less digits than its factorization.

202041240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372382 (or 372366 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202041240300 its reverse (3042140202), we get a palindrome (205083380502).

The spelling of 202041240300 in words is "two hundred two billion, forty-one million, two hundred forty thousand, three hundred".