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204130032500 = 2254262131153
BaseRepresentation
bin1011111000011100011…
…0010001101101110100
3201111220011200002000002
42332013012101231310
511321024242020000
6233435343010432
720514350435042
oct2760706215564
9644804602002
10204130032500
11796310997a9
123368a899a18
1316331b6b0a4
149c46803392
15549ad328d5
hex2f87191b74

204130032500 has 60 divisors (see below), whose sum is σ = 446576202996. Its totient is φ = 81618240000.

The previous prime is 204130032487. The next prime is 204130032511. The reversal of 204130032500 is 5230031402.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 148634923024 + 55495109476 = 385532^2 + 235574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6536924 + ... + 6568076.

Almost surely, 2204130032500 is an apocalyptic number.

204130032500 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 204130032500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223288101498).

204130032500 is an abundant number, since it is smaller than the sum of its proper divisors (242446170496).

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

204130032500 is a wasteful number, since it uses less digits than its factorization.

204130032500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33798 (or 33781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 204130032500 its reverse (5230031402), we get a palindrome (209360063902).

The spelling of 204130032500 in words is "two hundred four billion, one hundred thirty million, thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 2621 5242 10484 13105 26210 31153 52420 62306 65525 124612 131050 155765 262100 311530 327625 623060 655250 778825 1310500 1557650 1638125 3115300 3276250 3894125 6552500 7788250 15576500 19470625 38941250 77882500 81652013 163304026 326608052 408260065 816520130 1633040260 2041300325 4082600650 8165201300 10206501625 20413003250 40826006500 51032508125 102065016250 204130032500