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22111211122 = 27112138312097
BaseRepresentation
bin10100100101111011…
…100100111001110010
32010001222010220110021
4110211323210321302
5330240432223442
614054023554054
71411636123240
oct244573447162
963058126407
1022111211122
119417225200
124350bbb92a
132114bbc6a0
1410da84d790
15896299e67
hex525ee4e72

22111211122 has 96 divisors (see below), whose sum is σ = 45413375616. Its totient is φ = 7855626240.

The previous prime is 22111210999. The next prime is 22111211149.

22111211122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22111211096 and 22111211105.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1821778 + ... + 1833874.

It is an arithmetic number, because the mean of its divisors is an integer number (473055996).

Almost surely, 222111211122 is an apocalyptic number.

22111211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111211122 is an abundant number, since it is smaller than the sum of its proper divisors (23302164494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22111211122 is a wasteful number, since it uses less digits than its factorization.

22111211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12213 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

The spelling of 22111211122 in words is "twenty-two billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 83 91 121 143 154 166 182 242 286 581 847 913 1001 1079 1162 1573 1694 1826 2002 2158 3146 6391 7553 10043 11011 11869 12097 12782 15106 20086 22022 23738 24194 70301 83083 84679 130559 133067 140602 157261 166166 169358 261118 266134 314522 913913 931469 1004051 1100827 1463737 1729871 1827826 1862938 2008102 2201654 2927474 3459742 7028357 10246159 11044561 12109097 13052663 14056714 19028581 20492318 22089122 24218194 26105326 38057162 77311927 91368641 121490171 133200067 143579293 154623854 182737282 242980342 266400134 287158586 850431197 1005055051 1579372223 1700862394 2010110102 3158744446 11055605561 22111211122