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204242002020 = 223257162096827
BaseRepresentation
bin1011111000110111000…
…1011010000001100100
3201112011222100201022100
42332031301122001210
511321241423031040
6233454422532100
720520210241560
oct2761561320144
9645158321270
10204242002020
11796893160a1
1233700297030
131634c112a44
149c5762c6a0
1554a5a9db30
hex2f8dc5a064

204242002020 has 72 divisors (see below), whose sum is σ = 708038944704. Its totient is φ = 46683885888.

The previous prime is 204242001983. The next prime is 204242002051. The reversal of 204242002020 is 20200242402.

204242002020 is a `hidden beast` number, since 2 + 0 + 42 + 420 + 0 + 202 + 0 = 666.

204242002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 204242001984 and 204242002002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81047154 + ... + 81049673.

It is an arithmetic number, because the mean of its divisors is an integer number (9833874232).

Almost surely, 2204242002020 is an apocalyptic number.

204242002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242002020 is an abundant number, since it is smaller than the sum of its proper divisors (503796942684).

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

204242002020 is a wasteful number, since it uses less digits than its factorization.

204242002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162096849 (or 162096844 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 204242002020 its reverse (20200242402), we get a palindrome (224442244422).

The spelling of 204242002020 in words is "two hundred four billion, two hundred forty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 162096827 324193654 486290481 648387308 810484135 972580962 1134677789 1458871443 1620968270 1945161924 2269355578 2431452405 2917742886 3241936540 3404033367 4538711156 4862904810 5673388945 5835485772 6808066734 7294357215 9725809620 10212100101 11346777890 13616133468 14588714430 17020166835 20424200202 22693555780 29177428860 34040333670 40848400404 51060500505 68080667340 102121001010 204242002020