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13223461141305 = 325293854692029
BaseRepresentation
bin1100000001101101001110…
…1101000011101100111001
31201211011001202001200022100
43000123103231003230321
53213123122023010210
644042435120214013
72533235460066312
oct300332355035471
951734052050270
1013223461141305
114239047096678
12159696646a309
1374bc7576460c
1433a039d53609
1517de8c65a5c0
hexc06d3b43b39

13223461141305 has 12 divisors (see below), whose sum is σ = 22920665978340. Its totient is φ = 7052512608672.

The previous prime is 13223461141283. The next prime is 13223461141339. The reversal of 13223461141305 is 50314116432231.

13223461141305 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 4 + 611 + 4 + 1 + 30 + 5 = 666.

13223461141305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10428372031401 + 2795089109904 = 3229299^2 + 1671852^2 .

It is not a de Polignac number, because 13223461141305 - 29 = 13223461140793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13223461141305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146927345970 + ... + 146927346059.

It is an arithmetic number, because the mean of its divisors is an integer number (1910055498195).

Almost surely, 213223461141305 is an apocalyptic number.

13223461141305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13223461141305 is a deficient number, since it is larger than the sum of its proper divisors (9697204837035).

13223461141305 is a wasteful number, since it uses less digits than its factorization.

13223461141305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293854692040 (or 293854692037 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13223461141305 its reverse (50314116432231), we get a palindrome (63537577573536).

The spelling of 13223461141305 in words is "thirteen trillion, two hundred twenty-three billion, four hundred sixty-one million, one hundred forty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 293854692029 881564076087 1469273460145 2644692228261 4407820380435 13223461141305