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201112224411 = 372371109173311
BaseRepresentation
bin1011101101001100111…
…0010000001010011011
3201020002212010112120010
42323103032100022123
511243334212140121
6232220100533003
720346514462530
oct2732316201233
9636085115503
10201112224411
117832267592a
1232b880b1163
1315c70890027
149a3bac2d87
155370e22376
hex2ed339029b

201112224411 has 128 divisors (see below), whose sum is σ = 330210017280. Its totient is φ = 106418188800.

The previous prime is 201112224377. The next prime is 201112224427. The reversal of 201112224411 is 114422211102.

201112224411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201112224411 - 27 = 201112224283 is a prime.

It is a super-2 number, since 2×2011122244112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (201112224491) 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 127 ways as a sum of consecutive naturals, for example, 646662946 + ... + 646663256.

It is an arithmetic number, because the mean of its divisors is an integer number (2579765760).

Almost surely, 2201112224411 is an apocalyptic number.

201112224411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201112224411 is a deficient number, since it is larger than the sum of its proper divisors (129097792869).

201112224411 is a wasteful number, since it uses less digits than its factorization.

201112224411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 201112224411 its reverse (114422211102), we get a palindrome (315534435513).

The spelling of 201112224411 in words is "two hundred one billion, one hundred twelve million, two hundred twenty-four thousand, four hundred eleven".

Divisors: 1 3 7 21 23 69 71 109 161 173 213 311 327 483 497 519 763 933 1211 1491 1633 2177 2289 2507 3633 3979 4899 6531 7153 7521 7739 11431 11937 12283 17549 18857 21459 22081 23217 27853 33899 34293 36849 50071 52647 53803 54173 56571 66243 83559 85981 101697 131999 150213 154567 161409 162519 177997 237293 257943 282509 376621 395997 433711 463701 507863 533991 711879 779677 847527 1129863 1237469 1245979 1301133 1338847 1523589 1977563 2339031 2406829 3035977 3555041 3712407 3737937 3820013 4016541 5457739 5864527 5932689 7220487 8662283 9107931 9371929 10665123 11460039 16373217 16847803 17593581 25986849 26740091 28115787 30793481 41051689 50543409 55357067 80220273 87860299 92380443 123155067 134884121 166071201 215554367 263580897 387499469 404652363 416381417 615022093 646663101 944188847 1162498407 1249144251 1845066279 2832566541 2914669919 8744009757 9576772591 28730317773 67037408137 201112224411