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330100113002202 = 23218338895166789
BaseRepresentation
bin100101100001110010110101…
…1111110011100111011011010
31121021210021002102220210110200
41023003211223332130323122
5321231330012412032302
63130021522020323030
7126346642345512264
oct11303455376347332
91537707072823420
10330100113002202
11961a8743108924
1231033743b43476
13112263cb89a4ba
145b72d05c5ab34
1528269dc74481c
hex12c396bf9ceda

330100113002202 has 12 divisors (see below), whose sum is σ = 715216911504810. Its totient is φ = 110033371000728.

The previous prime is 330100113002131. The next prime is 330100113002239. The reversal of 330100113002202 is 202200311001033.

330100113002202 is a `hidden beast` number, since 3 + 30 + 100 + 11 + 300 + 220 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285728007987081 + 44372105015121 = 16903491^2 + 6661239^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 18338895166789 = 330100113002202 / (3 + 3 + 0 + 1 + 0 + 0 + 1 + 1 + 3 + 0 + 0 + 2 + 2 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9169447583377 + ... + 9169447583412.

Almost surely, 2330100113002202 is an apocalyptic number.

330100113002202 is an abundant number, since it is smaller than the sum of its proper divisors (385116798502608).

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

330100113002202 is a wasteful number, since it uses less digits than its factorization.

330100113002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338895166797 (or 18338895166794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330100113002202 its reverse (202200311001033), we get a palindrome (532300424003235).

The spelling of 330100113002202 in words is "three hundred thirty trillion, one hundred billion, one hundred thirteen million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 18338895166789 36677790333578 55016685500367 110033371000734 165050056501101 330100113002202