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204242300100 = 223252593846371
BaseRepresentation
bin1011111000110111001…
…0100010110011000100
3201112011222220212012100
42332031302202303010
511321242012100400
6233454433152100
720520212622606
oct2761562426304
9645158825170
10204242300100
11796894aa043
12337003bb630
131634c1b8617
149c576a9176
1554a5b0c100
hex2f8dca2cc4

204242300100 has 108 divisors (see below), whose sum is σ = 651036924720. Its totient is φ = 53541470400.

The previous prime is 204242300081. The next prime is 204242300123. The reversal of 204242300100 is 1003242402.

204242300100 is a `hidden beast` number, since 2 + 0 + 424 + 230 + 0 + 10 + 0 = 666.

204242300100 is digitally balanced in base 2, 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 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 35 ways as a sum of consecutive naturals, for example, 1870086 + ... + 1976285.

Almost surely, 2204242300100 is an apocalyptic number.

204242300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242300100 is an abundant number, since it is smaller than the sum of its proper divisors (446794624620).

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

204242300100 is a wasteful number, since it uses less digits than its factorization.

204242300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846450 (or 3846440 counting only the distinct ones).

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

Adding to 204242300100 its reverse (1003242402), we get a palindrome (205245542502).

The spelling of 204242300100 in words is "two hundred four billion, two hundred forty-two million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 885 900 1062 1180 1475 1770 2124 2655 2950 3540 4425 5310 5900 8850 10620 13275 17700 26550 53100 3846371 7692742 11539113 15385484 19231855 23078226 34617339 38463710 46156452 57695565 69234678 76927420 96159275 115391130 138469356 173086695 192318550 226935889 230782260 288477825 346173390 384637100 453871778 576955650 680807667 692346780 865433475 907743556 1134679445 1153911300 1361615334 1730866950 2042423001 2269358890 2723230668 3404038335 3461733900 4084846002 4538717780 5673397225 6808076670 8169692004 10212115005 11346794450 13616153340 17020191675 20424230010 22693588900 34040383350 40848460020 51060575025 68080766700 102121150050 204242300100