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11120110221 = 31119731271913
BaseRepresentation
bin10100101101100111…
…10110101010001101
31001200222110010111010
422112303312222031
5140233222011341
65035234315433
7542365243263
oct122663665215
931628403433
1011120110221
114797015440
1221a4128b79
131082a8c79c
14776c18433
154513b7716
hex296cf6a8d

11120110221 has 64 divisors (see below), whose sum is σ = 17404231680. Its totient is φ = 6244439040.

The previous prime is 11120110187. The next prime is 11120110237. The reversal of 11120110221 is 12201102111.

It is not a de Polignac number, because 11120110221 - 29 = 11120109709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11120110197 and 11120110206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120110021) 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 63 ways as a sum of consecutive naturals, for example, 5811961 + ... + 5813873.

It is an arithmetic number, because the mean of its divisors is an integer number (271941120).

Almost surely, 211120110221 is an apocalyptic number.

11120110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11120110221 is a deficient number, since it is larger than the sum of its proper divisors (6284121459).

11120110221 is a wasteful number, since it uses less digits than its factorization.

11120110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120110221 its reverse (12201102111), we get a palindrome (23321212332).

The spelling of 11120110221 in words is "eleven billion, one hundred twenty million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 57 73 127 209 219 381 627 803 1387 1397 1913 2409 2413 4161 4191 5739 7239 9271 15257 21043 26543 27813 36347 45771 63129 79629 101981 109041 139649 176149 242951 305943 399817 418947 528447 728853 1199451 1536139 1937639 2653331 2672461 4608417 4616069 5812917 7959993 8017383 13848207 17735423 29186641 50776759 53206269 87559923 152330277 195089653 336973037 585268959 1010919111 3706703407 11120110221