Search a number
-
+
2130310230132 = 2237534133115777
BaseRepresentation
bin11111000000000000011…
…000100111000001110100
321112122200222112102022210
4133000000120213001310
5234400333404331012
64310352341253420
7306624034120320
oct37000030470164
97478628472283
102130310230132
11751506651457
122a4a50704270
13125b6c7a9216
1475171232980
153a6331c123c
hex1f000627074

2130310230132 has 96 divisors (see below), whose sum is σ = 5789463144192. Its totient is φ = 597026267136.

The previous prime is 2130310230049. The next prime is 2130310230163. The reversal of 2130310230132 is 2310320130312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2130310230099 and 2130310230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18342228 + ... + 18458004.

It is an arithmetic number, because the mean of its divisors is an integer number (60306907752).

Almost surely, 22130310230132 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 2130310230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894731572096).

2130310230132 is an abundant number, since it is smaller than the sum of its proper divisors (3659152914060).

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

2130310230132 is a wasteful number, since it uses less digits than its factorization.

2130310230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119977 (or 119975 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2130310230132 its reverse (2310320130312), we get a palindrome (4440630360444).

The spelling of 2130310230132 in words is "two trillion, one hundred thirty billion, three hundred ten million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4133 4452 8266 12399 16532 24798 28931 49596 57862 86793 115724 115777 173586 219049 231554 347172 347331 438098 463108 657147 694662 810439 876196 1314294 1389324 1533343 1620878 2431317 2628588 3066686 3241756 4600029 4862634 6133372 6136181 9200058 9725268 12272362 18400116 18408543 24544724 36817086 42953267 73634172 85906534 128859801 171813068 257719602 478506341 515439204 957012682 1435519023 1914025364 2871038046 3349544387 5742076092 6699088774 10048633161 13398177548 20097266322 25360836073 40194532644 50721672146 76082508219 101443344292 152165016438 177525852511 304330032876 355051705022 532577557533 710103410044 1065155115066 2130310230132