Search a number
-
+
120310110312 = 23373593199313
BaseRepresentation
bin111000000001100001…
…0101001100001101000
3102111112121200211212120
41300003002221201220
53432343342012222
6131134131111240
711456253031050
oct1600302514150
9374477624776
10120310110312
1147028a14637
121b397742520
13b464514cb2
145b745cc560
1531e231015c
hex1c030a9868

120310110312 has 64 divisors (see below), whose sum is σ = 343840567680. Its totient is φ = 34364577792.

The previous prime is 120310110299. The next prime is 120310110313. The reversal of 120310110312 is 213011013021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120310110291 and 120310110300.

It is not an unprimeable number, because it can be changed into a prime (120310110313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503968 + ... + 703280.

It is an arithmetic number, because the mean of its divisors is an integer number (5372508870).

Almost surely, 2120310110312 is an apocalyptic number.

120310110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120310110312 is an abundant number, since it is smaller than the sum of its proper divisors (223530457368).

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

120310110312 is a wasteful number, since it uses less digits than its factorization.

120310110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202922 (or 202918 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120310110312 its reverse (213011013021), we get a palindrome (333321123333).

The spelling of 120310110312 in words is "one hundred twenty billion, three hundred ten million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3593 7186 10779 14372 21558 25151 28744 43116 50302 75453 86232 100604 150906 199313 201208 301812 398626 597939 603624 797252 1195878 1395191 1594504 2391756 2790382 4185573 4783512 5580764 8371146 11161528 16742292 33484584 716131609 1432263218 2148394827 2864526436 4296789654 5012921263 5729052872 8593579308 10025842526 15038763789 17187158616 20051685052 30077527578 40103370104 60155055156 120310110312