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42312221213211 = 3337472677336631
BaseRepresentation
bin10011001111011100101001…
…11010100100001000011011
312112211000020110001211212000
421213232110322210020123
521021220412112310321
6225553544401252043
711624646200056365
oct1147562472441033
9175730213054760
1042312221213211
111253356a885564
1248b4485334023
131a7c043895c31
14a63ccb22dd35
154d5988273826
hex267b94ea421b

42312221213211 has 64 divisors (see below), whose sum is σ = 65773476188160. Its totient is φ = 26851698599040.

The previous prime is 42312221213177. The next prime is 42312221213299. The reversal of 42312221213211 is 11231212221324.

42312221213211 is a `hidden beast` number, since 4 + 2 + 3 + 12 + 221 + 213 + 211 = 666.

42312221213211 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 42312221213211 - 26 = 42312221213147 is a prime.

It is a super-3 number, since 3×423122212132113 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42312221213411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125524866 + ... + 125861496.

It is an arithmetic number, because the mean of its divisors is an integer number (1027710565440).

Almost surely, 242312221213211 is an apocalyptic number.

42312221213211 is a deficient number, since it is larger than the sum of its proper divisors (23461254974949).

42312221213211 is a wasteful number, since it uses less digits than its factorization.

42312221213211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339401 (or 339395 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 42312221213211 its reverse (11231212221324), we get a palindrome (53543433434535).

The spelling of 42312221213211 in words is "forty-two trillion, three hundred twelve billion, two hundred twenty-one million, two hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 9 27 37 47 111 141 333 423 999 1269 1739 2677 5217 8031 15651 24093 46953 72279 99049 125819 297147 336631 377457 891441 1009893 1132371 2674323 3029679 3397113 4655303 9089037 12455347 13965909 15821657 37366041 41897727 47464971 112098123 125693181 142394913 336294369 427184739 585401309 901161187 1756203927 2703483561 5268611781 8110450683 15805835343 24331352049 33342963919 42354575789 100028891757 127063727367 300086675271 381191182101 900260025813 1143573546303 1567119304193 4701357912579 14104073737737 42312221213211