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110111220022221 = 32118320876420899
BaseRepresentation
bin11001000010010101000100…
…001001111011101111001101
3112102212112022020122022100100
4121002111010021323233031
5103413030234311202341
61030104221322521313
732123162452226235
oct3102250411735715
9472775266568310
10110111220022221
11320a29a7122030
1210424360966239
13495959c4830b2
141d295a9186cc5
15cae3a399d3b6
hex64254427bbcd

110111220022221 has 48 divisors (see below), whose sum is σ = 175683220876800. Its totient is φ = 65898446681760.

The previous prime is 110111220022157. The next prime is 110111220022259. The reversal of 110111220022221 is 122220022111011.

110111220022221 is a `hidden beast` number, since 110 + 1 + 112 + 200 + 22 + 221 = 666.

It is not a de Polignac number, because 110111220022221 - 26 = 110111220022157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110111220022194 and 110111220022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111220023221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13938430 + ... + 20359328.

It is an arithmetic number, because the mean of its divisors is an integer number (3660067101600).

Almost surely, 2110111220022221 is an apocalyptic number.

110111220022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111220022221 is a deficient number, since it is larger than the sum of its proper divisors (65572000854579).

110111220022221 is a wasteful number, since it uses less digits than its factorization.

110111220022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423086 (or 6423083 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110111220022221 its reverse (122220022111011), we get a palindrome (232331242133232).

The spelling of 110111220022221 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twenty million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 83 99 249 747 913 2087 2739 6261 8217 18783 22957 68871 173221 206613 519663 1558989 1905431 5716293 6420899 17148879 19262697 57788091 70629889 211889667 532934617 635669001 1598803851 4796411553 5862280787 13400416213 17586842361 40201248639 52760527083 120603745917 147404578343 442213735029 1112234545679 1326641205087 3336703637037 10010110911111 12234580002469 36703740007407 110111220022221