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21210200220000 = 253541139678101
BaseRepresentation
bin1001101001010011000100…
…11100110010000101100000
32210002200020022200110222010
410310221202130302011200
510240001442224020000
6113035455332512520
74316246351121441
oct464514234620540
983080208613863
1021210200220000
116838217091410
12246681917b740
13bab161bbc37c
145348173472c8
1526bad52cdd50
hex134a62732160

21210200220000 has 480 divisors, whose sum is σ = 75927084355584. Its totient is φ = 5139936000000.

The previous prime is 21210200219959. The next prime is 21210200220017. The reversal of 21210200220000 is 2200201212.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×212102002200003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2618215950 + ... + 2618224050.

Almost surely, 221210200220000 is an apocalyptic number.

21210200220000 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 21210200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37963542177792).

21210200220000 is an abundant number, since it is smaller than the sum of its proper divisors (54716884135584).

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

21210200220000 is a wasteful number, since it uses less digits than its factorization.

21210200220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21210200220000 its reverse (2200201212), we get a palindrome (21212400421212).

The spelling of 21210200220000 in words is "twenty-one trillion, two hundred ten billion, two hundred million, two hundred twenty thousand".