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12210213002301 = 3223181211325513
BaseRepresentation
bin1011000110101110100101…
…1010001001110000111101
31121020021200201221001122100
42301223221122021300331
53100023004012033201
641545143332135313
72400105314031306
oct261535132116075
947207621831570
1012210213002301
11398835aa13876
121452507767539
136a7558886792
14302d9822b7ad
15162937cc9886
hexb1ae9689c3d

12210213002301 has 24 divisors (see below), whose sum is σ = 18403957406016. Its totient is φ = 7786155896640.

The previous prime is 12210213002291. The next prime is 12210213002411. The reversal of 12210213002301 is 10320031201221.

12210213002301 is a `hidden beast` number, since 1 + 221 + 0 + 213 + 0 + 0 + 230 + 1 = 666.

It is not a de Polignac number, because 12210213002301 - 210 = 12210213001277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210213002501) 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 23 ways as a sum of consecutive naturals, for example, 37347921 + ... + 37673433.

It is an arithmetic number, because the mean of its divisors is an integer number (766831558584).

Almost surely, 212210213002301 is an apocalyptic number.

It is an amenable number.

12210213002301 is a deficient number, since it is larger than the sum of its proper divisors (6193744403715).

12210213002301 is a wasteful number, since it uses less digits than its factorization.

12210213002301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506753 (or 506750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12210213002301 its reverse (10320031201221), we get a palindrome (22530244203522).

The spelling of 12210213002301 in words is "twelve trillion, two hundred ten billion, two hundred thirteen million, two thousand, three hundred one".

Divisors: 1 3 9 23 69 207 181211 325513 543633 976539 1630899 2929617 4167853 7486799 12503559 22460397 37510677 67381191 58986536243 176959608729 530878826187 1356690333589 4070071000767 12210213002301