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221012332112 = 241113101956399
BaseRepresentation
bin1100110111010101011…
…1001000111001010000
3210010110201200202100002
43031311113020321100
512110113124111422
6245310501145132
721652614553325
oct3156527107120
9703421622302
10221012332112
1185804777330
1236a006bb1a8
1317ac26611a0
14a9a8a04b4c
155b3800a692
hex33755c8e50

221012332112 has 80 divisors (see below), whose sum is σ = 508054982400. Its totient is φ = 91814208000.

The previous prime is 221012332087. The next prime is 221012332141. The reversal of 221012332112 is 211233210122.

221012332112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 247112 + ... + 709287.

It is an arithmetic number, because the mean of its divisors is an integer number (6350687280).

Almost surely, 2221012332112 is an apocalyptic number.

221012332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221012332112 is an abundant number, since it is smaller than the sum of its proper divisors (287042650288).

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

221012332112 is a wasteful number, since it uses less digits than its factorization.

221012332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956532 (or 956526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221012332112 its reverse (211233210122), we get a palindrome (432245542234).

The spelling of 221012332112 in words is "two hundred twenty-one billion, twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 176 202 208 286 404 572 808 1111 1144 1313 1616 2222 2288 2626 4444 5252 8888 10504 14443 17776 21008 28886 57772 115544 231088 956399 1912798 3825596 7651192 10520389 12433187 15302384 21040778 24866374 42081556 49732748 84163112 96596299 99465496 136765057 168326224 193192598 198930992 273530114 386385196 547060228 772770392 1062559289 1094120456 1255751887 1545540784 2125118578 2188240912 2511503774 4250237156 5023007548 8500474312 10046015096 13813270757 17000948624 20092030192 27626541514 55253083028 110506166056 221012332112