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221211212012 = 227172916795959
BaseRepresentation
bin1100111000000100110…
…1110011100011101100
3210010222120220220021022
43032001031303203230
512111020032241022
6245342323553312
721660551164160
oct3160115634354
9703876826238
10221211212012
11858a6a6478a
1236a5722b838
1317b249156bb
14a9c71b4ca0
155b4a6e2c42
hex33813738ec

221211212012 has 96 divisors (see below), whose sum is σ = 487507507200. Its totient is φ = 85634454528.

The previous prime is 221211211999. The next prime is 221211212017. The reversal of 221211212012 is 210212112122.

221211212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (221211212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2257289 + ... + 2353247.

It is an arithmetic number, because the mean of its divisors is an integer number (5078203200).

Almost surely, 2221211212012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243753753600).

221211212012 is an abundant number, since it is smaller than the sum of its proper divisors (266296295188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221211212012 is a wasteful number, since it uses less digits than its factorization.

221211212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96183 (or 96181 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221211212012 its reverse (210212112122), we get a palindrome (431423324134).

The spelling of 221211212012 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 167 203 238 334 406 476 493 668 812 986 1169 1972 2338 2839 3451 4676 4843 5678 6902 9686 11356 13804 19372 19873 33901 39746 67802 79492 82331 95959 135604 164662 191918 329324 383836 576317 671713 1152634 1343426 1631303 2305268 2686852 2782811 3262606 5565622 6525212 11131244 11419121 16025153 19479677 22838242 32050306 38959354 45676484 47307787 64100612 77918708 94615574 112176071 189231148 224352142 272427601 331154509 448704284 464729437 544855202 662309018 929458874 1089710404 1324618036 1858917748 1906993207 3253106059 3813986414 6506212118 7627972828 7900400429 13012424236 15800800858 31601601716 55302803003 110605606006 221211212012