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10020212210112 = 26313191160913063
BaseRepresentation
bin1001000111010000001100…
…1100000111100111000000
31022110220220211001220121220
42101310003030013213000
52303132343311210422
633151115534515040
72052636125321466
oct221640314074700
938426824056556
1010020212210112
1132136036256a5
121159b98965a80
13578b957a3c70
14268da3694836
151259ae62ae5c
hex91d033079c0

10020212210112 has 224 divisors, whose sum is σ = 28720700252160. Its totient is φ = 3064859320320.

The previous prime is 10020212210059. The next prime is 10020212210117. The reversal of 10020212210112 is 21101221202001.

It is a super-2 number, since 2×100202122101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020212210091 and 10020212210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020212210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767061693 + ... + 767074755.

It is an arithmetic number, because the mean of its divisors is an integer number (128217411840).

Almost surely, 210020212210112 is an apocalyptic number.

10020212210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020212210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360350126080).

10020212210112 is an abundant number, since it is smaller than the sum of its proper divisors (18700488042048).

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

10020212210112 is a wasteful number, since it uses less digits than its factorization.

10020212210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14891 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10020212210112 its reverse (21101221202001), we get a palindrome (31121433412113).

The spelling of 10020212210112 in words is "ten trillion, twenty billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".