Search a number
-
+
10530366561 = 32111319499863
BaseRepresentation
bin10011100111010100…
…01010010001100001
31000011212202001021100
421303222022101201
5133031233212221
64500530145013
7521644432101
oct116352122141
930155661240
1010530366561
114514132290
12205a722169
13cba845340
1471c781201
15419723926
hex273a8a461

10530366561 has 96 divisors (see below), whose sum is σ = 18869760000. Its totient is φ = 5563416960.

The previous prime is 10530366527. The next prime is 10530366571. The reversal of 10530366561 is 16566303501.

10530366561 is a `hidden beast` number, since 1 + 0 + 5 + 30 + 3 + 66 + 561 = 666.

It is not a de Polignac number, because 10530366561 - 211 = 10530364513 is a prime.

It is a super-2 number, since 2×105303665612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10530366521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12201616 + ... + 12202478.

It is an arithmetic number, because the mean of its divisors is an integer number (196560000).

Almost surely, 210530366561 is an apocalyptic number.

10530366561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10530366561 is a deficient number, since it is larger than the sum of its proper divisors (8339393439).

10530366561 is a wasteful number, since it uses less digits than its factorization.

10530366561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10530366561 in words is "ten billion, five hundred thirty million, three hundred sixty-six thousand, five hundred sixty-one".

Divisors: 1 3 9 11 13 19 33 39 57 99 117 143 171 209 247 429 499 627 741 863 1287 1497 1881 2223 2589 2717 4491 5489 6487 7767 8151 9481 9493 11219 16397 16467 19461 24453 28443 28479 33657 49191 49401 58383 71357 85329 85437 100971 104291 123253 123409 147573 180367 213161 214071 312873 369759 370227 430637 541101 639483 642213 938619 1109277 1110681 1291911 1355783 1623303 1918449 2344771 3875733 4067349 4737007 5598281 7034313 8182103 12202047 14211021 16794843 21102939 24546309 42633063 50384529 61581091 73638927 90003133 106367339 184743273 270009399 319102017 554229819 810028197 957306051 1170040729 3510122187 10530366561