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13101605730 = 2325178563141
BaseRepresentation
bin11000011001110101…
…01010001101100010
31020211001222112022200
430030322222031202
5203313002340410
610004020514030
7642445545153
oct141472521542
936731875280
1013101605730
115613573334
12265784b916
13130a458335
148c405792a
1551a3223c0
hex30ceaa362

13101605730 has 48 divisors (see below), whose sum is σ = 36067954104. Its totient is φ = 3288245760.

The previous prime is 13101605729. The next prime is 13101605767. The reversal of 13101605730 is 3750610131.

13101605730 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 60 + 573 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8716649769 + 4384955961 = 93363^2 + 66219^2 .

It is a super-3 number, since 3×131016057303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101605694 and 13101605703.

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, 4280041 + ... + 4283100.

Almost surely, 213101605730 is an apocalyptic number.

13101605730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13101605730 is an abundant number, since it is smaller than the sum of its proper divisors (22966348374).

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

13101605730 is a wasteful number, since it uses less digits than its factorization.

13101605730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8563171 (or 8563168 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 13101605730 in words is "thirteen billion, one hundred one million, six hundred five thousand, seven 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 8563141 17126282 25689423 42815705 51378846 77068269 85631410 128447115 145573397 154136538 256894230 291146794 385341345 436720191 727866985 770682690 873440382 1310160573 1455733970 2183600955 2620321146 4367201910 6550802865 13101605730