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221102122221 = 32376138391291
BaseRepresentation
bin1100110111101010110…
…1101010010011101101
3210010200222122120012200
43031322231222103231
512110304120402341
6245323425452113
721655055013141
oct3157255522355
9703628576180
10221102122221
1185850424a32
1236a267a1039
1317b0813b726
14a9b68d9221
155b40d44db6
hex337ab6a4ed

221102122221 has 48 divisors (see below), whose sum is σ = 329182788480. Its totient is φ = 142902195840.

The previous prime is 221102122211. The next prime is 221102122343. The reversal of 221102122221 is 122221201122.

It is a happy number.

221102122221 is a `hidden beast` number, since 221 + 10 + 212 + 2 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-221102122221 is a prime.

It is a super-2 number, since 2×2211021222212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102122194 and 221102122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102122211) 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 47 ways as a sum of consecutive naturals, for example, 171263586 + ... + 171264876.

It is an arithmetic number, because the mean of its divisors is an integer number (6857974760).

Almost surely, 2221102122221 is an apocalyptic number.

It is an amenable number.

221102122221 is a deficient number, since it is larger than the sum of its proper divisors (108080666259).

221102122221 is a wasteful number, since it uses less digits than its factorization.

221102122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221102122221 its reverse (122221201122), we get a palindrome (343323323343).

The spelling of 221102122221 in words is "two hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 613 839 1291 1839 2517 3873 5517 7551 11619 22681 31043 47767 68043 93129 143301 204129 279387 429903 514307 791383 1083149 1542921 2374149 3249447 4628763 7122447 9748341 19029359 29281171 40076513 57088077 87843513 120229539 171264231 263530539 360688617 663970337 1991911011 5975733033 24566902469 73700707407 221102122221