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213313231411413 = 371992691216315601
BaseRepresentation
bin110000100000000111011011…
…011000100101100011010101
31000222021112201212021221211120
4300200013123120211203111
5210424410444220131123
62033402425022154153
762634241505211210
oct6040073330454325
91028245655257746
10213313231411413
1161a716a70815a1
121bb11649722959
13920447507c403
143a965b6154777
15199db777e82e3
hexc201db6258d5

213313231411413 has 64 divisors (see below), whose sum is σ = 327944553984000. Its totient is φ = 120812209689600.

The previous prime is 213313231411351. The next prime is 213313231411417. The reversal of 213313231411413 is 314114132313312.

It is a happy number.

It is not a de Polignac number, because 213313231411413 - 212 = 213313231407317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313231411417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13673040813 + ... + 13673056413.

It is an arithmetic number, because the mean of its divisors is an integer number (5124133656000).

Almost surely, 2213313231411413 is an apocalyptic number.

It is an amenable number.

213313231411413 is a deficient number, since it is larger than the sum of its proper divisors (114631322572587).

213313231411413 is a wasteful number, since it uses less digits than its factorization.

213313231411413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28242.

The product of its digits is 15552, while the sum is 33.

Adding to 213313231411413 its reverse (314114132313312), we get a palindrome (527427363724725).

The spelling of 213313231411413 in words is "two hundred thirteen trillion, three hundred thirteen billion, two hundred thirty-one million, four hundred eleven thousand, four hundred thirteen".

Divisors: 1 3 7 21 199 269 597 807 1393 1883 4179 5649 12163 15601 36489 46803 53531 85141 109207 160593 255423 327621 374717 1124151 2420437 3104599 3271847 4196669 7261311 9313797 9815541 12590007 16943059 21732193 22902929 29376683 50829177 65196579 68708787 88130049 189754963 569264889 651097553 835137131 1328284741 1953292659 2505411393 3984854223 4557682871 5845959917 13673048613 17537879751 37761237637 51044085047 113283712911 153132255141 264328663459 357308595329 792985990377 1071925785987 10157772924353 30473318773059 71104410470471 213313231411413