Search a number
-
+
330031212322131 = 33109112141084717
BaseRepresentation
bin100101100001010010110000…
…1001011001101110101010011
31121021112200020122010121001000
41023002211201023031311103
5321224212410323302011
63125530125035513043
7126341653050424065
oct11302454113156523
91537480218117030
10330031212322131
11961814a6507121
12310223152b8783
131121ca6b126118
145b6d84b247735
152824d088d3356
hex12c29612cdd53

330031212322131 has 16 divisors (see below), whose sum is σ = 493420772759200. Its totient is φ = 218002268687904.

The previous prime is 330031212322129. The next prime is 330031212322169. The reversal of 330031212322131 is 131223212130033.

330031212322131 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 312 + 12 + 322 + 13 + 1 = 666.

It is not a de Polignac number, because 330031212322131 - 21 = 330031212322129 is a prime.

It is a super-2 number, since 2×3300312123221312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330031212322095 and 330031212322104.

It is not an unprimeable number, because it can be changed into a prime (330031212322631) 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, 56070539416 + ... + 56070545301.

It is an arithmetic number, because the mean of its divisors is an integer number (30838798297450).

Almost surely, 2330031212322131 is an apocalyptic number.

330031212322131 is a deficient number, since it is larger than the sum of its proper divisors (163389560437069).

330031212322131 is a wasteful number, since it uses less digits than its factorization.

330031212322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112141084835 (or 112141084829 counting only the distinct ones).

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

Adding to 330031212322131 its reverse (131223212130033), we get a palindrome (461254424452164).

The spelling of 330031212322131 in words is "three hundred thirty trillion, thirty-one billion, two hundred twelve million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 109 327 981 2943 112141084717 336423254151 1009269762453 3027809287359 12223378234153 36670134702459 110010404107377 330031212322131