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21302320213013 = 721770136480761
BaseRepresentation
bin1001101011111110101010…
…01110101010110000010101
32210102111000022200222210012
410311333111032222300111
510243004122433304023
6113150052324010005
74326020232131600
oct465772516526025
983374008628705
1021302320213013
116873299456644
122480647b30905
13bb6a52cac688
14539075a17337
1526e1c7821978
hex135fd53aac15

21302320213013 has 24 divisors (see below), whose sum is σ = 26275341792024. Its totient is φ = 17160549504000.

The previous prime is 21302320212941. The next prime is 21302320213019. The reversal of 21302320213013 is 31031202320312.

It can be written as a sum of positive squares in 4 ways, for example, as 16840246993969 + 4462073219044 = 4103687^2 + 2112362^2 .

It is not a de Polignac number, because 21302320213013 - 220 = 21302319164437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21302320213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302320213019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17656448 + ... + 18824313.

It is an arithmetic number, because the mean of its divisors is an integer number (1094805908001).

Almost surely, 221302320213013 is an apocalyptic number.

It is an amenable number.

21302320213013 is a deficient number, since it is larger than the sum of its proper divisors (4973021579011).

21302320213013 is a wasteful number, since it uses less digits than its factorization.

21302320213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36481493 (or 36481486 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21302320213013 its reverse (31031202320312), we get a palindrome (52333522533325).

The spelling of 21302320213013 in words is "twenty-one trillion, three hundred two billion, three hundred twenty million, two hundred thirteen thousand, thirteen".

Divisors: 1 7 17 49 119 701 833 4907 11917 34349 83419 583933 36480761 255365327 620172937 1787557289 4341210559 25573013461 30388473913 179011094227 434741228837 1253077659589 3043188601859 21302320213013