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20413312224513 = 313811645398597
BaseRepresentation
bin1001010010000110110000…
…01110010100110100000001
32200021111022211022221121220
410221003120032110310001
510133422430412141023
6111225425101305253
74204545622663035
oct451033016246401
980244284287556
1020413312224513
11656026763877a
1223582a0b65229
13b50c758b1ab0
1450801c4221c5
15255ee53073e3
hex1290d8394d01

20413312224513 has 16 divisors (see below), whose sum is σ = 29347565048256. Its totient is φ = 12546548706240.

The previous prime is 20413312224469. The next prime is 20413312224541. The reversal of 20413312224513 is 31542221331402.

It is a happy number.

It is not a de Polignac number, because 20413312224513 - 26 = 20413312224449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20413312224713) 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 15 ways as a sum of consecutive naturals, for example, 322667670 + ... + 322730927.

It is an arithmetic number, because the mean of its divisors is an integer number (1834222815516).

Almost surely, 220413312224513 is an apocalyptic number.

It is an amenable number.

20413312224513 is a deficient number, since it is larger than the sum of its proper divisors (8934252823743).

20413312224513 is a wasteful number, since it uses less digits than its factorization.

20413312224513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645399424.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 20413312224513 its reverse (31542221331402), we get a palindrome (51955533555915).

The spelling of 20413312224513 in words is "twenty trillion, four hundred thirteen billion, three hundred twelve million, two hundred twenty-four thousand, five hundred thirteen".

Divisors: 1 3 13 39 811 2433 10543 31629 645398597 1936195791 8390181761 25170545283 523418262167 1570254786501 6804437408171 20413312224513