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23211300213 = 3213718825061
BaseRepresentation
bin10101100111100000…
…000101010101110101
32012220122011012222200
4111213200011111311
5340014043101323
614355122415113
71451124540123
oct254740052565
965818135880
1023211300213
1199311a0442
1245b9501499
13225baa1a8a
1411a29b2913
1590cb4c443
hex567805575

23211300213 has 12 divisors (see below), whose sum is σ = 33772161228. Its totient is φ = 15361248960.

The previous prime is 23211300199. The next prime is 23211300257. The reversal of 23211300213 is 31200311232.

23211300213 is a `hidden beast` number, since 2 + 321 + 130 + 0 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12423777444 + 10787522769 = 111462^2 + 103863^2 .

It is not a de Polignac number, because 23211300213 - 216 = 23211234677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211300113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9411298 + ... + 9413763.

It is an arithmetic number, because the mean of its divisors is an integer number (2814346769).

Almost surely, 223211300213 is an apocalyptic number.

It is an amenable number.

23211300213 is a deficient number, since it is larger than the sum of its proper divisors (10560861015).

23211300213 is a wasteful number, since it uses less digits than its factorization.

23211300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18825204 (or 18825201 counting only the distinct ones).

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

Adding to 23211300213 its reverse (31200311232), we get a palindrome (54411611445).

The spelling of 23211300213 in words is "twenty-three billion, two hundred eleven million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 9 137 411 1233 18825061 56475183 169425549 2579033357 7737100071 23211300213