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213300030321 = 3372814016269
BaseRepresentation
bin1100011010100110101…
…1000010101101110001
3202101120020122020012000
43012221223002231301
511443314301432241
6241553315524213
721260526225420
oct3065153025561
9671506566160
10213300030321
11825073408a4
12354098b9669
13171638cc6c1
14a47662b2b7
155835dddeb6
hex31a9ac2b71

213300030321 has 32 divisors (see below), whose sum is σ = 362428204800. Its totient is φ = 121451944320.

The previous prime is 213300030263. The next prime is 213300030331. The reversal of 213300030321 is 123030003312.

213300030321 is a `hidden beast` number, since 2 + 13 + 300 + 0 + 30 + 321 = 666.

213300030321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213300030321 - 213 = 213300022129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213300030294 and 213300030303.

It is not an unprimeable number, because it can be changed into a prime (213300030331) 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 31 ways as a sum of consecutive naturals, for example, 1955026 + ... + 2061243.

It is an arithmetic number, because the mean of its divisors is an integer number (11325881400).

Almost surely, 2213300030321 is an apocalyptic number.

213300030321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213300030321 is a deficient number, since it is larger than the sum of its proper divisors (149128174479).

213300030321 is a wasteful number, since it uses less digits than its factorization.

213300030321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016566 (or 4016560 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213300030321 its reverse (123030003312), we get a palindrome (336330033633).

The spelling of 213300030321 in words is "two hundred thirteen billion, three hundred million, thirty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 281 843 1967 2529 5901 7587 17703 53109 4016269 12048807 28113883 36146421 84341649 108439263 253024947 759074841 1128571589 3385714767 7900001123 10157144301 23700003369 30471432903 71100010107 213300030321