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205115504130 = 232517472928349
BaseRepresentation
bin1011111100000111010…
…1100011011000000010
3201121102212000012221100
42333001311203120002
511330034032113010
6234121225035230
720550645006135
oct2770165433002
9647385005840
10205115504130
1179a9739a169
1233904925b16
131645b08c4b4
149cdb64c21c
1555075e42c0
hex2fc1d63602

205115504130 has 96 divisors (see below), whose sum is σ = 564810246000. Its totient is φ = 51467268096.

The previous prime is 205115504107. The next prime is 205115504149. The reversal of 205115504130 is 31405511502.

205115504130 is a `hidden beast` number, since 20 + 5 + 1 + 1 + 5 + 504 + 130 = 666.

205115504130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12121349409 + 192994154721 = 110097^2 + 439311^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205115504094 and 205115504103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7221196 + ... + 7249544.

Almost surely, 2205115504130 is an apocalyptic number.

205115504130 is an abundant number, since it is smaller than the sum of its proper divisors (359694741870).

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

205115504130 is a wasteful number, since it uses less digits than its factorization.

205115504130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33108 (or 33105 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 205115504130 in words is "two hundred five billion, one hundred fifteen million, five hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 4729 9458 14187 23645 28349 28374 42561 47290 56698 70935 80393 85047 85122 141745 141870 160786 170094 212805 241179 255141 283490 401965 425235 425610 481933 482358 510282 723537 803930 850470 963866 1205895 1275705 1445799 1447074 2409665 2411790 2551410 2891598 3617685 4337397 4819330 7228995 7235370 8674794 14457990 21686985 43373970 134062421 268124842 402187263 670312105 804374526 1206561789 1340624210 2010936315 2279061157 2413123578 4021872630 4558122314 6032808945 6837183471 11395305785 12065617890 13674366942 20511550413 22790611570 34185917355 41023100826 68371834710 102557752065 205115504130