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110221221011 = 11291519912309
BaseRepresentation
bin110011010100110110…
…0100101110010010011
3101112111111200011112212
41212221230211302103
53301213113033021
6122345051142335
710651245630446
oct1465154456223
9345444604485
10110221221011
11428210077a0
1219440a449ab
13a5172a4305
14549872b65d
152d0174485b
hex19a9b25c93

110221221011 has 32 divisors (see below), whose sum is σ = 125391974400. Its totient is φ = 95966640000.

The previous prime is 110221220999. The next prime is 110221221031. The reversal of 110221221011 is 110122122011.

It is not a de Polignac number, because 110221221011 - 218 = 110220958867 is a prime.

It is a super-2 number, since 2×1102212210112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110221221031) 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, 47734325 + ... + 47736633.

It is an arithmetic number, because the mean of its divisors is an integer number (3918499200).

Almost surely, 2110221221011 is an apocalyptic number.

110221221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110221221011 is a deficient number, since it is larger than the sum of its proper divisors (15170753389).

110221221011 is a wasteful number, since it uses less digits than its factorization.

110221221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110221221011 its reverse (110122122011), we get a palindrome (220343343022).

The spelling of 110221221011 in words is "one hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, eleven".

Divisors: 1 11 29 151 319 991 1661 2309 4379 10901 25399 28739 48169 66961 149641 316129 348659 736571 1646051 2288219 3835249 4339589 10111111 25170409 47735479 66358351 111222221 345521069 729941861 3800731759 10020111001 110221221011