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204023303242320 = 243517236018534241
BaseRepresentation
bin101110011000111011100000…
…100001000000001001010000
3222202101102210210111010100110
4232120323200201000021100
5203220204211112223240
62001531002300521320
760655124435522622
oct5630734041001120
9882342723433313
10204023303242320
115a00a884892871
121aa710bb550240
1389ac412c0b2a3
143854acdc2ac12
15188c1aaca8c80
hexb98ee0840250

204023303242320 has 640 divisors, whose sum is σ = 700941394879488. Its totient is φ = 48829169664000.

The previous prime is 204023303242261. The next prime is 204023303242321. The reversal of 204023303242320 is 23242303320402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204023303242321) 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 127 ways as a sum of consecutive naturals, for example, 48107355400 + ... + 48107359640.

Almost surely, 2204023303242320 is an apocalyptic number.

204023303242320 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 204023303242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350470697439744).

204023303242320 is an abundant number, since it is smaller than the sum of its proper divisors (496918091637168).

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

204023303242320 is a wasteful number, since it uses less digits than its factorization.

204023303242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 204023303242320 its reverse (23242303320402), we get a palindrome (227265606562722).

The spelling of 204023303242320 in words is "two hundred four trillion, twenty-three billion, three hundred three million, two hundred forty-two thousand, three hundred twenty".