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204430310120 = 235172771085317
BaseRepresentation
bin1011111001100011111…
…1101111101011101000
3201112200002200202110102
42332120333233223220
511322133124410440
6233525231004532
720524654652021
oct2763077575350
9645602622412
10204430310120
1179775642823
1233753369748
131637c13535a
149c74649c48
1554b7398b15
hex2f98fefae8

204430310120 has 64 divisors (see below), whose sum is σ = 488783814480. Its totient is φ = 76684087296.

The previous prime is 204430310107. The next prime is 204430310159. The reversal of 204430310120 is 21013034402.

It can be written as a sum of positive squares in 8 ways, for example, as 114321076996 + 90109233124 = 338114^2 + 300182^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 204430310092 and 204430310101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354299 + ... + 731018.

Almost surely, 2204430310120 is an apocalyptic number.

204430310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204430310120 is an abundant number, since it is smaller than the sum of its proper divisors (284353504360).

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

204430310120 is a wasteful number, since it uses less digits than its factorization.

204430310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085622 (or 1085618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 204430310120 its reverse (21013034402), we get a palindrome (225443344522).

The spelling of 204430310120 in words is "two hundred four billion, four hundred thirty million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 277 340 554 680 1108 1385 2216 2770 4709 5540 9418 11080 18836 23545 37672 47090 94180 188360 1085317 2170634 4341268 5426585 8682536 10853170 18450389 21706340 36900778 43412680 73801556 92251945 147603112 184503890 300632809 369007780 601265618 738015560 1202531236 1503164045 2405062472 3006328090 5110757753 6012656180 10221515506 12025312360 20443031012 25553788765 40886062024 51107577530 102215155060 204430310120