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210212221201020 = 223854873289493
BaseRepresentation
bin101111110010111111011000…
…110001011010101001111100
31000120022002111010111100000000
4233302333120301122221330
5210023104112111413040
62023030054455234300
762164221543300603
oct5762773061325174
91016262433440000
10210212221201020
1160a865587127a5
121b6b0653678990
13903ac0966935c
1439ca47bd92a3a
15194818031d130
hexbf2fd8c5aa7c

210212221201020 has 216 divisors, whose sum is σ = 663494676665184. Its totient is φ = 55941469375104.

The previous prime is 210212221200869. The next prime is 210212221201057. The reversal of 210212221201020 is 20102122212012.

It is a happy number.

210212221201020 is a `hidden beast` number, since 2 + 10 + 212 + 221 + 201 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210212221200984 and 210212221201002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62259394 + ... + 65548886.

Almost surely, 2210212221201020 is an apocalyptic number.

210212221201020 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 210212221201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331747338332592).

210212221201020 is an abundant number, since it is smaller than the sum of its proper divisors (453282455464164).

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

210212221201020 is an equidigital number, since it uses as much as digits as its factorization.

210212221201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290013 (or 3289990 counting only the distinct ones).

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

Adding to 210212221201020 its reverse (20102122212012), we get a palindrome (230314343413032).

The spelling of 210212221201020 in words is "two hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, two hundred one thousand, twenty".