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21022101000000 = 2632562335789
BaseRepresentation
bin1001100011110100101101…
…10111001100111101000000
32202102200201100211001120100
410301322112313030331000
510223411230324000000
6112413230405442400
74266540155125152
oct461722667147500
982380640731510
1021022101000000
116775471a73391
122436283110400
13b964b6305269
14529691a16ad2
15266c76a2ba00
hex131e96dccf40

21022101000000 has 294 divisors, whose sum is σ = 75319139222990. Its totient is φ = 5605891200000.

The previous prime is 21022100999953. The next prime is 21022101000001. The reversal of 21022101000000 is 10122012.

It can be written as a sum of positive squares in 7 ways, for example, as 20991498395904 + 30602604096 = 4581648^2 + 174936^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022101000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 7832106 + ... + 10167894.

Almost surely, 221022101000000 is an apocalyptic number.

21022101000000 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 21022101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37659569611495).

21022101000000 is an abundant number, since it is smaller than the sum of its proper divisors (54297038222990).

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

21022101000000 is an frugal number, since it uses more digits than its factorization.

21022101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335837 (or 2335799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21022101000000 its reverse (10122012), we get a palindrome (21022111122012).

The spelling of 21022101000000 in words is "twenty-one trillion, twenty-two billion, one hundred one million", and thus it is an aban number.