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112121112102021 = 321117411624873007
BaseRepresentation
bin11001011111100100111011…
…000011110000010010000101
3112200222200012002011212202100
4121133210323003300102011
5104143443014144231041
61034243421113302313
732421324452066151
oct3137447303602205
9480880162155670
10112121112102021
11327a8329876880
12106a99a5704999
134a73c8b24a109
141d98995706061
15ce67da11c6b6
hex65f93b0f0485

112121112102021 has 48 divisors (see below), whose sum is σ = 191631023071488. Its totient is φ = 62395123430400.

The previous prime is 112121112102007. The next prime is 112121112102031. The reversal of 112121112102021 is 120201211121211.

It is a happy number.

It is not a de Polignac number, because 112121112102021 - 214 = 112121112085637 is a prime.

It is a super-2 number, since 2×1121211121020212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121112101985 and 112121112102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121112102031) 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, 812367501 + ... + 812505506.

It is an arithmetic number, because the mean of its divisors is an integer number (3992312980656).

Almost surely, 2112121112102021 is an apocalyptic number.

112121112102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112121112102021 is a deficient number, since it is larger than the sum of its proper divisors (79509910969467).

112121112102021 is a wasteful number, since it uses less digits than its factorization.

112121112102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624873082 (or 1624873079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121112102021 its reverse (120201211121211), we get a palindrome (232322323223232).

The spelling of 112121112102021 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 11 17 33 41 51 99 123 153 187 369 451 561 697 1353 1683 2091 4059 6273 7667 23001 69003 1624873007 4874619021 14623857063 17873603077 27622841119 53620809231 66619793287 82868523357 160862427693 199859379861 248605570071 303851252309 599578139583 732817726157 911553756927 1132536485879 2198453178471 2734661270781 3397609457637 6595359535413 10192828372911 12457901344669 37373704034007 112121112102021