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21530602235241 = 321161233145310531
BaseRepresentation
bin1001110010100111110111…
…11001011110010101101001
32211020022020200121021012100
410321103323321132111221
510310224133133011431
6113443004440004013
74351351252245111
oct471237371362551
984208220537170
1021530602235241
116951093729730
1224b8937160609
13c02433791538
1454612dcdc041
152750d8b694e6
hex1394fbe5e569

21530602235241 has 96 divisors (see below), whose sum is σ = 34658311618944. Its totient is φ = 12769840512000.

The previous prime is 21530602235221. The next prime is 21530602235267. The reversal of 21530602235241 is 14253220603512.

21530602235241 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 0 + 602 + 2 + 3 + 5 + 2 + 41 = 666.

It is not a de Polignac number, because 21530602235241 - 223 = 21530593846633 is a prime.

It is a super-2 number, since 2×215306022352412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21530602235196 and 21530602235205.

It is not an unprimeable number, because it can be changed into a prime (21530602235221) 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, 2044492146 + ... + 2044502676.

It is an arithmetic number, because the mean of its divisors is an integer number (361024079364).

Almost surely, 221530602235241 is an apocalyptic number.

It is an amenable number.

21530602235241 is a deficient number, since it is larger than the sum of its proper divisors (13127709383703).

21530602235241 is a wasteful number, since it uses less digits than its factorization.

21530602235241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21530602235241 its reverse (14253220603512), we get a palindrome (35783822838753).

The spelling of 21530602235241 in words is "twenty-one trillion, five hundred thirty billion, six hundred two million, two hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 61 99 183 233 549 671 699 1453 2013 2097 2563 4359 6039 7689 10531 13077 14213 15983 23067 31593 42639 47949 88633 94779 115841 127917 143847 156343 265899 338549 347523 469029 642391 797697 974963 1015647 1042569 1407087 1927173 2453723 2924889 3046941 3724039 5781519 7066301 7361169 8774667 11172117 15301543 20651489 21198903 22083507 26990953 33516351 45904629 61954467 63596709 80972859 137713887 149677103 168316973 185863401 227166379 242918577 449031309 504950919 681499137 933394123 1347093927 1514852757 1646448133 2044497411 2800182369 3565259519 4939344399 8400547107 10267335353 10695778557 14818033197 30802006059 32087335671 39217854709 92406018177 117653564127 217480830659 352960692381 652442491977 1957327475931 2392289137249 7176867411747 21530602235241