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201315330 = 23254189613
BaseRepresentation
bin10111111111111…
…01010000000010
3112000210212201100
423333331100002
5403014042310
631550515230
74663103106
oct1377752002
9460725640
10201315330
11a3701207
1257505b16
1332927bc8
141ca45906
1512a18ec0
hexbffd402

201315330 has 96 divisors (see below), whose sum is σ = 543095280. Its totient is φ = 51701760.

The previous prime is 201315307. The next prime is 201315347. The reversal of 201315330 is 33513102.

201315330 is a `hidden beast` number, since 2 + 0 + 131 + 533 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1912689 + 199402641 = 1383^2 + 14121^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 328104 + ... + 328716.

Almost surely, 2201315330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201315330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271547640).

201315330 is an abundant number, since it is smaller than the sum of its proper divisors (341779950).

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

201315330 is a wasteful number, since it uses less digits than its factorization.

201315330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 201315330 is about 14188.5633522214. The cubic root of 201315330 is about 586.0827634932.

Adding to 201315330 its reverse (33513102), we get a palindrome (234828432).

The spelling of 201315330 in words is "two hundred one million, three hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 89 90 123 178 205 246 267 369 410 445 534 613 615 738 801 890 1226 1230 1335 1602 1839 1845 2670 3065 3649 3678 3690 4005 5517 6130 7298 8010 9195 10947 11034 18245 18390 21894 25133 27585 32841 36490 50266 54557 54735 55170 65682 75399 109114 109470 125665 150798 163671 164205 226197 251330 272785 327342 328410 376995 452394 491013 545570 753990 818355 982026 1130985 1636710 2236837 2261970 2455065 4473674 4910130 6710511 11184185 13421022 20131533 22368370 33552555 40263066 67105110 100657665 201315330