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21212120110020 = 22357233190768821
BaseRepresentation
bin1001101001010110101001…
…11000100101001111000100
32210002212012010021222221220
410310223110320211033010
510240014410222010040
6113040414034440340
74316345052661440
oct464532470451704
983085163258856
1021212120110020
116839011892184
1224670741330b0
13bab3a9898278
1453495a30b820
1526bb98b1a2d0
hex134ad4e253c4

21212120110020 has 192 divisors, whose sum is σ = 70833284960256. Its totient is φ = 4637468183040.

The previous prime is 21212120110007. The next prime is 21212120110021. The reversal of 21212120110020 is 2001102121212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21212120110021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308187210 + ... + 308256030.

It is an arithmetic number, because the mean of its divisors is an integer number (368923359168).

Almost surely, 221212120110020 is an apocalyptic number.

21212120110020 is a gapful number since it is divisible by the number (20) 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 21212120110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35416642480128).

21212120110020 is an abundant number, since it is smaller than the sum of its proper divisors (49621164850236).

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

21212120110020 is a wasteful number, since it uses less digits than its factorization.

21212120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100770 (or 100768 counting only the distinct ones).

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

Adding to 21212120110020 its reverse (2001102121212), we get a palindrome (23213222231232).

The spelling of 21212120110020 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty million, one hundred ten thousand, twenty".