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10221022221012 = 223317191012939901
BaseRepresentation
bin1001010010111100010001…
…1001100001001011010100
31100012010020121112102012000
42110233010121201023110
52314430123142033022
633423250042155300
72103305313255351
oct224570431411324
940163217472160
1010221022221012
113290790644a99
121190a9b7b2b30
13591ab886c815
142749b3189628
1512ad13c536ac
hex94bc46612d4

10221022221012 has 384 divisors, whose sum is σ = 29931670540800. Its totient is φ = 2997181440000.

The previous prime is 10221022220977. The next prime is 10221022221019. The reversal of 10221022221012 is 21012222012201.

It is a happy number.

10221022221012 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 222 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221022221019) 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 127 ways as a sum of consecutive naturals, for example, 1032317262 + ... + 1032327162.

It is an arithmetic number, because the mean of its divisors is an integer number (77947058700).

Almost surely, 210221022221012 is an apocalyptic number.

10221022221012 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 10221022221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965835270400).

10221022221012 is an abundant number, since it is smaller than the sum of its proper divisors (19710648319788).

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

10221022221012 is a wasteful number, since it uses less digits than its factorization.

10221022221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221022221012 its reverse (21012222012201), we get a palindrome (31233244233213).

The spelling of 10221022221012 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, twelve".