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204214330120 = 23541775316061
BaseRepresentation
bin1011111000110000011…
…1110110001100001000
3201112010001021211121011
42332030013312030020
511321212332030440
6233451553453304
720516423110513
oct2761407661410
9645101254534
10204214330120
1179674735859
12336b2b71234
1316346474638
149c53aa7d7a
1554a34349ea
hex2f8c1f6308

204214330120 has 64 divisors (see below), whose sum is σ = 470779147440. Its totient is φ = 79678156800.

The previous prime is 204214330057. The next prime is 204214330123. The reversal of 204214330120 is 21033412402.

It can be written as a sum of positive squares in 8 ways, for example, as 38407376484 + 165806953636 = 195978^2 + 407194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204214330091 and 204214330100.

It is not an unprimeable number, because it can be changed into a prime (204214330123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12706890 + ... + 12722950.

Almost surely, 2204214330120 is an apocalyptic number.

204214330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204214330120 is an abundant number, since it is smaller than the sum of its proper divisors (266564817320).

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

204214330120 is a wasteful number, since it uses less digits than its factorization.

204214330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23866 (or 23862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 204214330120 its reverse (21033412402), we get a palindrome (225247742522).

The spelling of 204214330120 in words is "two hundred four billion, two hundred fourteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 7753 15506 16061 31012 32122 38765 62024 64244 77530 80305 128488 155060 160610 310120 317873 321220 635746 642440 658501 1271492 1317002 1589365 2542984 2634004 3178730 3292505 5268008 6357460 6585010 12714920 13170020 26340040 124520933 249041866 498083732 622604665 996167464 1245209330 2490418660 4980837320 5105358253 10210716506 20421433012 25526791265 40842866024 51053582530 102107165060 204214330120