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213422404242223 = 112315317319931183
BaseRepresentation
bin110000100001101101000110…
…100101111000101100101111
31000222122222112022020101101201
4300201231012211320230233
5210433203040441222343
62033524522102550331
762645155064026531
oct6041550645705457
91028588468211351
10213422404242223
1162003a2a314200
121bb2a8374383a7
1392118530a2a97
143a9b9b1539851
1519a1916e9d94d
hexc21b46978b2f

213422404242223 has 96 divisors (see below), whose sum is σ = 249405740236800. Its totient is φ = 182227907347200.

The previous prime is 213422404242221. The next prime is 213422404242259. The reversal of 213422404242223 is 322242404224312.

213422404242223 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 213422404242223 - 21 = 213422404242221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213422404242221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6844175290 + ... + 6844206472.

It is an arithmetic number, because the mean of its divisors is an integer number (2597976460800).

Almost surely, 2213422404242223 is an apocalyptic number.

213422404242223 is a deficient number, since it is larger than the sum of its proper divisors (35983335994577).

213422404242223 is a wasteful number, since it uses less digits than its factorization.

213422404242223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31661 (or 31650 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 213422404242223 its reverse (322242404224312), we get a palindrome (535664808466535).

The spelling of 213422404242223 in words is "two hundred thirteen trillion, four hundred twenty-two billion, four hundred four million, two hundred forty-two thousand, two hundred twenty-three".

Divisors: 1 11 31 53 121 173 199 341 583 1643 1903 2189 3751 5363 6169 6413 9169 10547 18073 20933 24079 31183 34427 58993 67859 100859 116017 198803 284239 326957 343013 378697 648923 746449 966673 1067237 1109449 1276187 1652699 1824631 3126629 3596527 3773143 4165667 5394659 6205417 10633403 11739607 18179689 20070941 34392919 39561797 51233669 56563561 59341249 68259587 116967433 129135677 167234429 192367927 199976579 220780351 285916927 328887101 563570359 622199171 652753739 750855457 1073537141 1839578719 2116047197 3145086197 3617758111 6199273949 6844190881 8863424737 10195500131 11808908551 20235365909 23276519167 33279651371 34595948167 39795339221 56897468473 97497672107 112150501441 129897994061 366076165081 625872153203 1072474393177 1233655515851 1763821522663 4026837815891 6884593685233 19402036749293 213422404242223