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330332130121122 = 232213726573232081
BaseRepresentation
bin100101100011011110111000…
…1010001100001010110100010
31121022121102222010001122022100
41023012331301101201112202
5321244130200302333442
63130320252520351230
7126402465061466313
oct11306756121412642
91538542863048270
10330332130121122
1196288084792388
12310706b6015516
1311242256140a4c
145b8023621a60a
15282ca6b93784c
hex12c6f714615a2

330332130121122 has 48 divisors (see below), whose sum is σ = 716324252199192. Its totient is φ = 110017727815680.

The previous prime is 330332130121079. The next prime is 330332130121129. The reversal of 330332130121122 is 221121031233033.

330332130121122 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 321 + 301 + 2 + 11 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 162927839533761 + 167404290587361 = 12764319^2 + 12938481^2 .

It is not an unprimeable number, because it can be changed into a prime (330332130121129) 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 23 ways as a sum of consecutive naturals, for example, 100588122 + ... + 103820202.

Almost surely, 2330332130121122 is an apocalyptic number.

330332130121122 is an abundant number, since it is smaller than the sum of its proper divisors (385992122078070).

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

330332130121122 is a wasteful number, since it uses less digits than its factorization.

330332130121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236883 (or 3236880 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 330332130121122 its reverse (221121031233033), we get a palindrome (551453161354155).

The spelling of 330332130121122 in words is "three hundred thirty trillion, three hundred thirty-two billion, one hundred thirty million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 2137 2657 4274 5314 6411 7971 12822 15942 19233 23913 38466 47826 3232081 5678009 6464162 9696243 11356018 17034027 19392486 29088729 34068054 51102081 58177458 102204162 6906957097 8587639217 13813914194 17175278434 20720871291 25762917651 41441742582 51525835302 62162613873 77288752953 124325227746 154577505906 18351785006729 36703570013458 55055355020187 110110710040374 165166065060561 330332130121122