Search a number
-
+
321233203140 = 223567229334849
BaseRepresentation
bin1001010110010101111…
…11011010111111000100
31010201011021221111200020
410223022333122333010
520230341200000030
6403323354215140
732131313113563
oct4531277327704
91121137844606
10321233203140
11114263850073
12523104244b0
13243a4b54935
141179511bbda
158551823510
hex4acafdafc4

321233203140 has 96 divisors (see below), whose sum is σ = 913301961600. Its totient is φ = 84344426496.

The previous prime is 321233203111. The next prime is 321233203157. The reversal of 321233203140 is 41302332123.

It is a self number, because there is not a number n which added to its sum of digits gives 321233203140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9200436 + ... + 9235284.

It is an arithmetic number, because the mean of its divisors is an integer number (9513562100).

Almost surely, 2321233203140 is an apocalyptic number.

321233203140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321233203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456650980800).

321233203140 is an abundant number, since it is smaller than the sum of its proper divisors (592068758460).

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

321233203140 is a wasteful number, since it uses less digits than its factorization.

321233203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37221 (or 37219 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 321233203140 its reverse (41302332123), we get a palindrome (362535535263).

The spelling of 321233203140 in words is "three hundred twenty-one billion, two hundred thirty-three million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2293 4020 4586 6879 9172 11465 13758 22930 27516 34395 34849 45860 68790 69698 104547 137580 139396 153631 174245 209094 307262 348490 418188 460893 522735 614524 696980 768155 921786 1045470 1536310 1843572 2090940 2304465 2334883 3072620 4608930 4669766 7004649 9217860 9339532 11674415 14009298 23348830 28018596 35023245 46697660 70046490 79908757 140092980 159817514 239726271 319635028 399543785 479452542 799087570 958905084 1198631355 1598175140 2397262710 4794525420 5353886719 10707773438 16061660157 21415546876 26769433595 32123320314 53538867190 64246640628 80308300785 107077734380 160616601570 321233203140