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221122223101 = 135319710491553
BaseRepresentation
bin1100110111101111101…
…0010101101111111101
3210010202101110210102201
43031323322111233331
512110324242114401
6245325424351501
721655420612243
oct3157372255775
9703671423381
10221122223101
118586080402a
1236a31475591
1317b0c358a40
14a9b944c793
155b429b5b01
hex337be95bfd

221122223101 has 32 divisors (see below), whose sum is σ = 244245909600. Its totient is φ = 198926966784.

The previous prime is 221122223099. The next prime is 221122223177. The reversal of 221122223101 is 101322221122.

It can be written as a sum of positive squares in 16 ways, for example, as 4617202500 + 216505020601 = 67950^2 + 465301^2 .

It is not a de Polignac number, because 221122223101 - 21 = 221122223099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122283101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142383141 + ... + 142384693.

It is an arithmetic number, because the mean of its divisors is an integer number (7632684675).

Almost surely, 2221122223101 is an apocalyptic number.

It is an amenable number.

221122223101 is a deficient number, since it is larger than the sum of its proper divisors (23123686499).

221122223101 is a wasteful number, since it uses less digits than its factorization.

221122223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221122223101 its reverse (101322221122), we get a palindrome (322444444223).

The spelling of 221122223101 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 13 53 197 689 1049 1553 2561 10441 13637 20189 55597 82309 135733 206653 305941 722761 1070017 1629097 2686489 3977233 10952609 16214873 21178261 86342141 142383917 210793349 320932109 1122447833 4172117417 17009401777 221122223101