Search a number
-
+
321300141201204 = 2231124113567744451
BaseRepresentation
bin100100100001110001000010…
…0110010000101011100110100
31120010121222211021110022101020
41021003202010302011130310
5314103140142121414304
63055203125220301140
7124451112010415604
oct11103420462053464
91503558737408336
10321300141201204
1193415696481260
12300521532417b0
1310a3861cb20c99
14594b01ccb6c04
152722b49c0c5d9
hex1243884c85734

321300141201204 has 96 divisors (see below), whose sum is σ = 821310129733632. Its totient is φ = 96952403520000.

The previous prime is 321300141201187. The next prime is 321300141201211. The reversal of 321300141201204 is 402102141003123.

It is a super-2 number, since 2×3213001412012042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431221179 + ... + 431965629.

It is an arithmetic number, because the mean of its divisors is an integer number (8555313851392).

Almost surely, 2321300141201204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321300141201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410655064866816).

321300141201204 is an abundant number, since it is smaller than the sum of its proper divisors (500009988532428).

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

321300141201204 is a wasteful number, since it uses less digits than its factorization.

321300141201204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758277 (or 758275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 321300141201204 its reverse (402102141003123), we get a palindrome (723402282204327).

The spelling of 321300141201204 in words is "three hundred twenty-one trillion, three hundred billion, one hundred forty-one million, two hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 964 1446 2651 2892 5302 7953 10604 13567 15906 27134 31812 40701 54268 81402 149237 162804 298474 447711 596948 744451 895422 1488902 1790844 2233353 2977804 3269647 4466706 6539294 8188961 8933412 9808941 13078588 16377922 19617882 24566883 32755844 35966117 39235764 49133766 71932234 98267532 107898351 143864468 179412691 215796702 358825382 431593404 538238073 717650764 1076476146 1973539601 2152952292 3947079202 5920618803 7894158404 10099966717 11841237606 20199933434 23682475212 30299900151 40399866868 60599800302 111099633887 121199600604 222199267774 333298901661 444398535548 666597803322 1333195606644 2434091978797 4868183957594 7302275936391 9736367915188 14604551872782 26775011766767 29209103745564 53550023533534 80325035300301 107100047067068 160650070600602 321300141201204