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21211010220000 = 25354538380363
BaseRepresentation
bin1001101001010100100101…
…01110101011111111100000
32210002202022202211202002010
410310222102232223333200
510240010122104020000
6113040111545552520
74316305415034456
oct464522256537740
983082282752063
1021211010220000
1168385a23323a7
122466a044a5740
13bab260963b03
14534892b569d6
1526bb3147dd50
hex134a92babfe0

21211010220000 has 480 divisors, whose sum is σ = 71744095640448. Its totient is φ = 5482617088000.

The previous prime is 21211010219969. The next prime is 21211010220011. The reversal of 21211010220000 is 2201011212.

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

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, 263899819 + ... + 263980181.

Almost surely, 221211010220000 is an apocalyptic number.

21211010220000 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 21211010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872047820224).

21211010220000 is an abundant number, since it is smaller than the sum of its proper divisors (50533085420448).

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

21211010220000 is an equidigital number, since it uses as much as digits as its factorization.

21211010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80532 (or 80509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21211010220000 its reverse (2201011212), we get a palindrome (21213211231212).

The spelling of 21211010220000 in words is "twenty-one trillion, two hundred eleven billion, ten million, two hundred twenty thousand".