Search a number
-
+
330031230000312 = 23361673364644299
BaseRepresentation
bin100101100001010010110001…
…0001110101001110010111000
31121021112200021212101201221110
41023002211202032221302320
5321224212424340002222
63125530130510440320
7126341653353613011
oct11302454216516270
91537480255351843
10330031230000312
1196181505490a95
123102231b2030a0
131121ca719a5799
145b6d84d72a008
152824d0a22630c
hex12c29623a9cb8

330031230000312 has 64 divisors (see below), whose sum is σ = 851120422128000. Its totient is φ = 106591931360640.

The previous prime is 330031230000211. The next prime is 330031230000323. The reversal of 330031230000312 is 213000032130033.

It is a super-2 number, since 2×3300312300003122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682224062 + ... + 1682420237.

It is an arithmetic number, because the mean of its divisors is an integer number (13298756595750).

Almost surely, 2330031230000312 is an apocalyptic number.

It is an amenable number.

330031230000312 is an abundant number, since it is smaller than the sum of its proper divisors (521089192127688).

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

330031230000312 is a wasteful number, since it uses less digits than its factorization.

330031230000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364644436 (or 3364644432 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330031230000312 its reverse (213000032130033), we get a palindrome (543031262130345).

The spelling of 330031230000312 in words is "three hundred thirty trillion, thirty-one billion, two hundred thirty million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 61 67 122 134 183 201 244 268 366 402 488 536 732 804 1464 1608 4087 8174 12261 16348 24522 32696 49044 98088 3364644299 6729288598 10093932897 13458577196 20187865794 26917154392 40375731588 80751463176 205243302239 225431168033 410486604478 450862336066 615729906717 676293504099 820973208956 901724672132 1231459813434 1352587008198 1641946417912 1803449344264 2462919626868 2705174016396 4925839253736 5410348032792 13751301250013 27502602500026 41253903750039 55005205000052 82507807500078 110010410000104 165015615000156 330031230000312