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20021210200 = 23522341831279
BaseRepresentation
bin10010101001010110…
…110110110001011000
31220200022102212011201
4102221112312301120
5312000412211300
613110404003544
71306100323135
oct225126666130
956608385151
1020021210200
1185444a6612
123a690905b4
131b70bc2b54
14d7d04758c
157c2a5a66a
hex4a95b6c58

20021210200 has 192 divisors, whose sum is σ = 50396774400. Its totient is φ = 7377638400.

The previous prime is 20021210189. The next prime is 20021210207. The reversal of 20021210200 is 201212002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021210207) 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 47 ways as a sum of consecutive naturals, for example, 15653161 + ... + 15654439.

It is an arithmetic number, because the mean of its divisors is an integer number (262483200).

Almost surely, 220021210200 is an apocalyptic number.

20021210200 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 20021210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

20021210200 is an abundant number, since it is smaller than the sum of its proper divisors (30375564200).

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

20021210200 is a wasteful number, since it uses less digits than its factorization.

20021210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021210200 its reverse (201212002), we get a palindrome (20222422202).

The spelling of 20021210200 in words is "twenty billion, twenty-one million, two hundred ten thousand, two hundred".