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221211222122 = 21173613224699
BaseRepresentation
bin1100111000000100110…
…1110110000001101010
3210010222120221102010202
43032001031312001222
512111020033101442
6245342324112202
721660551235512
oct3160115660152
9703876842122
10221211222122
11858a6a71340
1236a57235662
1317b2491a197
14a9c71b8842
155b4a6e5c32
hex338137606a

221211222122 has 32 divisors (see below), whose sum is σ = 367540891200. Its totient is φ = 99010926720.

The previous prime is 221211222013. The next prime is 221211222137. The reversal of 221211222122 is 221222112122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221211222094 and 221211222103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872129 + ... + 1096827.

It is an arithmetic number, because the mean of its divisors is an integer number (11485652850).

Almost surely, 2221211222122 is an apocalyptic number.

221211222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221211222122 is a deficient number, since it is larger than the sum of its proper divisors (146329669078).

221211222122 is a wasteful number, since it uses less digits than its factorization.

221211222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225398.

The product of its digits is 256, while the sum is 20.

Adding to 221211222122 its reverse (221222112122), we get a palindrome (442433334244).

Subtracting 221211222122 from its reverse (221222112122), we obtain a square (10890000 = 33002).

The spelling of 221211222122 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 73 146 613 803 1226 1606 6743 13486 44749 89498 224699 449398 492239 984478 2471689 4943378 16403027 32806054 137740487 180433297 275480974 360866594 1515145357 3030290714 10055055551 20110111102 110605611061 221211222122