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13223503340415 = 3251134451584249
BaseRepresentation
bin1100000001101101011000…
…1110000010001101111111
31201211011011200110121121100
43000123112032002031333
53213123213323343130
644042443224504143
72533236511553634
oct300332616021577
951734150417540
1013223503340415
114239068999475
12159697861b053
1374bc8141b0c4
1433a0417ba18b
1517de911e3c60
hexc06d638237f

13223503340415 has 48 divisors (see below), whose sum is σ = 23128812252000. Its totient is φ = 6988540876800.

The previous prime is 13223503340351. The next prime is 13223503340417. The reversal of 13223503340415 is 51404330532231.

13223503340415 is a `hidden beast` number, since 1 + 3 + 2 + 235 + 0 + 3 + 3 + 4 + 0 + 415 = 666.

13223503340415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13223503340415 - 26 = 13223503340351 is a prime.

It is a super-2 number, since 2×132235033404152 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13223503340415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223503340417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22341211 + ... + 22925459.

It is an arithmetic number, because the mean of its divisors is an integer number (481850255250).

Almost surely, 213223503340415 is an apocalyptic number.

13223503340415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13223503340415 is a deficient number, since it is larger than the sum of its proper divisors (9905308911585).

13223503340415 is a wasteful number, since it uses less digits than its factorization.

13223503340415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588824 (or 588821 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13223503340415 its reverse (51404330532231), we get a palindrome (64627833872646).

The spelling of 13223503340415 in words is "thirteen trillion, two hundred twenty-three billion, five hundred three million, three hundred forty thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 4451 5085 13353 22255 40059 66765 200295 502963 584249 1508889 1752747 2514815 2921245 4526667 5258241 7544445 8763735 22633335 26291205 66020137 198060411 330100685 594181233 990302055 2600492299 2970906165 7801476897 13002461495 23404430691 39007384485 117022153455 293855629787 881566889361 1469278148935 2644700668083 4407834446805 13223503340415