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330030320233131 = 3272748368073091
BaseRepresentation
bin100101100001010010010110…
…0000000001010101010101011
31121021112120221110111202222200
41023002210230000022222223
5321224204043434430011
63125525500331151243
7126341621665664400
oct11302445400125253
91537476843452880
10330030320233131
1196181088998491
12310221065a5523
131121c95836c4cb
145b6d7a498a2a7
152824ca541a856
hex12c292c00aaab

330030320233131 has 18 divisors (see below), whose sum is σ = 554540742161172. Its totient is φ = 188588754418680.

The previous prime is 330030320233111. The next prime is 330030320233169. The reversal of 330030320233131 is 131332023030033.

330030320233131 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 0 + 320 + 2 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 330030320233131 - 25 = 330030320233099 is a prime.

It is a super-2 number, since 2×3300303202331312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330030320233095 and 330030320233104.

It is not an unprimeable number, because it can be changed into a prime (330030320233111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 374184036105 + ... + 374184036986.

It is an arithmetic number, because the mean of its divisors is an integer number (30807819008954).

Almost surely, 2330030320233131 is an apocalyptic number.

330030320233131 is a deficient number, since it is larger than the sum of its proper divisors (224510421928041).

330030320233131 is a wasteful number, since it uses less digits than its factorization.

330030320233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748368073111 (or 748368073101 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330030320233131 its reverse (131332023030033), we get a palindrome (461362343263164).

The spelling of 330030320233131 in words is "three hundred thirty trillion, thirty billion, three hundred twenty million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 748368073091 2245104219273 5238576511637 6735312657819 15715729534911 36670035581459 47147188604733 110010106744377 330030320233131