Search a number
-
+
321430041024021 = 331511051115165173
BaseRepresentation
bin100100100010101101100001…
…1011010100101011000010101
31120011002102010012220000202000
41021011123003122211120111
5314112302211000232041
63055342531120305513
7124463361026612316
oct11105330332453025
91504072105800660
10321430041024021
1193465795548826
1230073366472299
1310a4795201c477
145953422d4660d
1527261edd83bb6
hex12456c36a5615

321430041024021 has 64 divisors (see below), whose sum is σ = 480226558279680. Its totient is φ = 212477013000000.

The previous prime is 321430041024013. The next prime is 321430041024049. The reversal of 321430041024021 is 120420140034123.

321430041024021 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 3 + 0 + 0 + 410 + 240 + 2 + 1 = 666.

It is not a de Polignac number, because 321430041024021 - 23 = 321430041024013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321430041024061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4931918391 + ... + 4931983563.

It is an arithmetic number, because the mean of its divisors is an integer number (7503539973120).

Almost surely, 2321430041024021 is an apocalyptic number.

It is an amenable number.

321430041024021 is a deficient number, since it is larger than the sum of its proper divisors (158796517255659).

321430041024021 is a wasteful number, since it uses less digits than its factorization.

321430041024021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67535 (or 67529 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321430041024021 its reverse (120420140034123), we get a palindrome (441850181058144).

The spelling of 321430041024021 in words is "three hundred twenty-one trillion, four hundred thirty billion, forty-one million, twenty-four thousand, twenty-one".

Divisors: 1 3 9 27 151 453 1051 1151 1359 3153 3453 4077 9459 10359 28377 31077 65173 158701 173801 195519 476103 521403 586557 1209701 1428309 1564209 1759671 3629103 4284927 4692627 9841123 10887309 29523369 32661927 68496823 75014123 88570107 182664851 205490469 225042369 265710321 547994553 616471407 675127107 1643983659 1849414221 2025381321 4931950977 10343020273 11327132573 31029060819 33981397719 78839843273 93087182457 101944193157 236519529819 279261547371 305832579471 709558589457 2128675768371 11904816334223 35714449002669 107143347008007 321430041024021