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10002221221212 = 223211376112319091
BaseRepresentation
bin1001000110001101001011…
…0101111100010101011100
31022102012110222211222111200
42101203102311330111130
52302334022113034322
633134542413315500
72051431236410013
oct221432265742534
938365428758450
1010002221221212
113206a11138430
1211565b7795b90
135772893aa0bc
14268178131a7a
151252a9e528ac
hex918d2d7c55c

10002221221212 has 288 divisors, whose sum is σ = 28818280178688. Its totient is φ = 2898037440000.

The previous prime is 10002221221211. The next prime is 10002221221241. The reversal of 10002221221212 is 21212212220001.

It is a happy number.

10002221221212 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 221 + 221 + 212 = 666.

10002221221212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×100022212212125 (a number of 66 digits) contains 55555 as substring.

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 (10002221221211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1100228787 + ... + 1100237877.

Almost surely, 210002221221212 is an apocalyptic number.

10002221221212 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 10002221221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409140089344).

10002221221212 is an abundant number, since it is smaller than the sum of its proper divisors (18816058957476).

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

10002221221212 is a wasteful number, since it uses less digits than its factorization.

10002221221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441 (or 10436 counting only the distinct ones).

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

Adding to 10002221221212 its reverse (21212212220001), we get a palindrome (31214433441213).

The spelling of 10002221221212 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twelve".