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221404020123321 = 32719165809279593
BaseRepresentation
bin110010010101110110100011…
…111110001010011010111001
31002000221000110211122210011100
4302111312203332022122321
5213004440413122421241
62102515334103322013
764430625005434560
oct6225664376123271
91060830424583140
10221404020123321
1164600a10406842
12209b96ba450309
139670403cc5779
143c9602435cbd7
151a8e35ee829b6
hexc95da3f8a6b9

221404020123321 has 48 divisors (see below), whose sum is σ = 367412820203520. Its totient is φ = 125851829898240.

The previous prime is 221404020123289. The next prime is 221404020123329. The reversal of 221404020123321 is 123321020404122.

221404020123321 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 0 + 402 + 0 + 1 + 233 + 21 = 666.

It is not a de Polignac number, because 221404020123321 - 25 = 221404020123289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221404020123329) 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, 791739901 + ... + 792019493.

It is an arithmetic number, because the mean of its divisors is an integer number (7654433754240).

Almost surely, 2221404020123321 is an apocalyptic number.

221404020123321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221404020123321 is a deficient number, since it is larger than the sum of its proper divisors (146008800080199).

221404020123321 is a wasteful number, since it uses less digits than its factorization.

221404020123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345606 (or 345603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221404020123321 its reverse (123321020404122), we get a palindrome (344725040527443).

The spelling of 221404020123321 in words is "two hundred twenty-one trillion, four hundred four billion, twenty million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 191 573 1337 1719 4011 12033 65809 197427 279593 460663 592281 838779 1381989 1957151 2516337 4145967 5871453 12569519 17614359 37708557 53402263 87986633 113125671 160206789 263959899 373815841 480620367 791879697 1121447523 3364342569 18399735737 55199207211 128798150159 165597621633 386394450477 1159183351431 3514349525767 10543048577301 24600446680369 31629145731903 73801340041107 221404020123321