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13136511330 = 2325317364499
BaseRepresentation
bin11000011101111111…
…10100000101100010
31020220111122220210200
430032333310011202
5203400421330310
610011305010030
7643351334565
oct141677640542
936814586720
1013136511330
115631244438
122667483916
13131475a137
148c89424dc
1551d4199c0
hex30eff4162

13136511330 has 96 divisors (see below), whose sum is σ = 35740224000. Its totient is φ = 3343576320.

The previous prime is 13136511329. The next prime is 13136511347. The reversal of 13136511330 is 3311563131.

13136511330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 651 + 1 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13136511294 and 13136511303.

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, 171421 + ... + 235919.

It is an arithmetic number, because the mean of its divisors is an integer number (372294000).

Almost surely, 213136511330 is an apocalyptic number.

13136511330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13136511330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870112000).

13136511330 is an abundant number, since it is smaller than the sum of its proper divisors (22603712670).

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

13136511330 is a wasteful number, since it uses less digits than its factorization.

13136511330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64616 (or 64613 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 13136511330 in words is "thirteen billion, one hundred thirty-six million, five hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 73 90 93 146 155 186 219 279 310 365 438 465 558 657 730 930 1095 1314 1395 2190 2263 2790 3285 4526 6570 6789 11315 13578 20367 22630 33945 40734 64499 67890 101835 128998 193497 203670 322495 386994 580491 644990 967485 1160982 1934970 1999469 2902455 3998938 4708427 5804910 5998407 9416854 9997345 11996814 14125281 17995221 19994690 23542135 28250562 29992035 35990442 42375843 47084270 59984070 70626405 84751686 89976105 141252810 145961237 179952210 211879215 291922474 423758430 437883711 729806185 875767422 1313651133 1459612370 2189418555 2627302266 4378837110 6568255665 13136511330