Search a number
-
+
312112212221320 = 23577532314798753
BaseRepresentation
bin100011011110111010100100…
…1100010100001110110001000
31111221002122011201010011011121
41012331311021202201312020
5311402121302312040240
63023450212035405024
7122512235401602640
oct10675651142416610
91457078151104147
10312112212221320
11904a3056061015
122b009530453774
13105200947118a4
145710451337520
152613b4cbaa04a
hex11bdd498a1d88

312112212221320 has 64 divisors (see below), whose sum is σ = 802584969333120. Its totient is φ = 107008473421824.

The previous prime is 312112212221207. The next prime is 312112212221323. The reversal of 312112212221320 is 23122212211213.

It is a super-3 number, since 3×3121122122213203 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312112212221323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13691064 + ... + 28489816.

It is an arithmetic number, because the mean of its divisors is an integer number (12540390145830).

Almost surely, 2312112212221320 is an apocalyptic number.

It is an amenable number.

312112212221320 is an abundant number, since it is smaller than the sum of its proper divisors (490472757111800).

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

312112212221320 is a wasteful number, since it uses less digits than its factorization.

312112212221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14874094 (or 14874090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312112212221320 its reverse (23122212211213), we get a palindrome (335234424432533).

The spelling of 312112212221320 in words is "three hundred twelve trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 75323 150646 301292 376615 527261 602584 753230 1054522 1506460 2109044 2636305 3012920 4218088 5272610 10545220 14798753 21090440 29597506 59195012 73993765 103591271 118390024 147987530 207182542 295975060 414365084 517956355 591950120 828730168 1035912710 2071825420 4143650840 1114686472219 2229372944438 4458745888876 5573432361095 7802805305533 8917491777752 11146864722190 15605610611066 22293729444380 31211221222132 39014026527665 44587458888760 62422442444264 78028053055330 156056106110660 312112212221320