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20331313121113 = 293286921329513
BaseRepresentation
bin1001001111101110000001…
…01100100100011101011001
32122222122200011112220022021
410213313000230210131121
510131102012124333423
6111124024252054441
74165613615052451
oct447670054443531
978878604486267
1020331313121113
116529509247725
122344417764421
13b46308557a77
1450407dd82d61
15253ce65a195d
hex127dc0b24759

20331313121113 has 8 divisors (see below), whose sum is σ = 21033033755400. Its totient is φ = 19629635211648.

The previous prime is 20331313121087. The next prime is 20331313121117. The reversal of 20331313121113 is 31112131313302.

It can be written as a sum of positive squares in 4 ways, for example, as 9010160866249 + 11321152254864 = 3001693^2 + 3364692^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20331313121113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20331313121117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711556 + ... + 11617957.

It is an arithmetic number, because the mean of its divisors is an integer number (2629129219425).

Almost surely, 220331313121113 is an apocalyptic number.

It is an amenable number.

20331313121113 is a deficient number, since it is larger than the sum of its proper divisors (701720634287).

20331313121113 is a wasteful number, since it uses less digits than its factorization.

20331313121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21362411.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 20331313121113 its reverse (31112131313302), we get a palindrome (51443444434415).

The spelling of 20331313121113 in words is "twenty trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 29 32869 953201 21329513 618555877 701079762797 20331313121113