Search a number
-
+
320012312121300 = 2235227110133885677
BaseRepresentation
bin100100011000011001010110…
…0001100000000111111010100
31112222001212201020211122210110
41020300302230030000333110
5313421040203400340200
63052335343205523020
7124256061263021241
oct11060625414007724
91488055636748713
10320012312121300
1192a69506541517
122ba84643a13470
1310974054403416
14590496dd1c5c8
1526ee3c456ab50
hex1230cac300fd4

320012312121300 has 144 divisors (see below), whose sum is σ = 930236535551232. Its totient is φ = 84937768819200.

The previous prime is 320012312121169. The next prime is 320012312121311. The reversal of 320012312121300 is 3121213210023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80414062 + ... + 84299738.

It is an arithmetic number, because the mean of its divisors is an integer number (6459975941328).

Almost surely, 2320012312121300 is an apocalyptic number.

320012312121300 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 320012312121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465118267775616).

320012312121300 is an abundant number, since it is smaller than the sum of its proper divisors (610224223429932).

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

320012312121300 is a wasteful number, since it uses less digits than its factorization.

320012312121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886978 (or 3886971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 320012312121300 its reverse (3121213210023), we get a palindrome (323133525331323).

The spelling of 320012312121300 in words is "three hundred twenty trillion, twelve billion, three hundred twelve million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 271 300 542 813 1013 1084 1355 1626 2026 2710 3039 3252 4052 4065 5065 5420 6078 6775 8130 10130 12156 13550 15195 16260 20260 20325 25325 27100 30390 40650 50650 60780 75975 81300 101300 151950 274523 303900 549046 823569 1098092 1372615 1647138 2745230 3294276 3885677 4117845 5490460 6863075 7771354 8235690 11657031 13726150 15542708 16471380 19428385 20589225 23314062 27452300 38856770 41178450 46628124 58285155 77713540 82356900 97141925 116570310 194283850 233140620 291425775 388567700 582851550 1053018467 1165703100 2106036934 3159055401 3936190801 4212073868 5265092335 6318110802 7872381602 10530184670 11808572403 12636221604 15744763204 15795277005 19680954005 21060369340 23617144806 26325461675 31590554010 39361908010 47234289612 52650923350 59042862015 63181108020 78723816020 78976385025 98404770025 105301846700 118085724030 157952770050 196809540050 236171448060 295214310075 315905540100 393619080100 590428620150 1066707707071 1180857240300 2133415414142 3200123121213 4266830828284 5333538535355 6400246242426 10667077070710 12800492484852 16000615606065 21334154141420 26667692676775 32001231212130 53335385353550 64002462424260 80003078030325 106670770707100 160006156060650 320012312121300