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21010210000 = 245413295573
BaseRepresentation
bin10011100100010011…
…100101110011010000
32000020020102020211221
4103210103211303100
5321012103210000
613352453414424
71342436560363
oct234423456320
960206366757
1021010210000
118a0179681a
1240a433a414
131c9aa7b130
1410345300da
1582e7b761a
hex4e44e5cd0

21010210000 has 200 divisors, whose sum is σ = 56679887880. Its totient is φ = 7488768000.

The previous prime is 21010209973. The next prime is 21010210007. The reversal of 21010210000 is 1201012.

It can be written as a sum of positive squares in 20 ways, for example, as 18367838784 + 2642371216 = 135528^2 + 51404^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3767214 + ... + 3772786.

Almost surely, 221010210000 is an apocalyptic number.

21010210000 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 21010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28339943940).

21010210000 is an abundant number, since it is smaller than the sum of its proper divisors (35669677880).

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

21010210000 is a wasteful number, since it uses less digits than its factorization.

21010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21010210000 its reverse (1201012), we get a palindrome (21011411012).

The spelling of 21010210000 in words is "twenty-one billion, ten million, two hundred ten thousand".