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330024320421133 = 13231115998912113
BaseRepresentation
bin100101100001001111100011…
…0011000101100110100001101
31121021112000110022210202012111
41023002133012120230310031
5321224104302011434013
63125523025122304021
7126341320213301212
oct11302370630546415
91537460408722174
10330024320421133
119617958a185978
1231020b111b8011
131121c21033b1b0
145b6d395bc9b09
152824a5381d73d
hex12c27c662cd0d

330024320421133 has 16 divisors (see below), whose sum is σ = 370896688592640. Its totient is φ = 291366595263744.

The previous prime is 330024320421127. The next prime is 330024320421167. The reversal of 330024320421133 is 331124023420033.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-330024320421133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330024320421095 and 330024320421104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330024020421133) 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, 46119516 + ... + 52792597.

It is an arithmetic number, because the mean of its divisors is an integer number (23181043037040).

Almost surely, 2330024320421133 is an apocalyptic number.

It is an amenable number.

330024320421133 is a deficient number, since it is larger than the sum of its proper divisors (40872368171507).

330024320421133 is a wasteful number, since it uses less digits than its factorization.

330024320421133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98923308.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 330024320421133 its reverse (331124023420033), we get a palindrome (661148343841166).

The spelling of 330024320421133 in words is "three hundred thirty trillion, twenty-four billion, three hundred twenty million, four hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 13 23 299 11159 145067 256657 3336541 98912113 1285857469 2274978599 29574721787 1103760268967 14348883496571 25386486186241 330024320421133