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2110221220000 = 2554177385021
BaseRepresentation
bin11110101101010010111…
…111000111100010100000
321110201211221111222010111
4132231102333013202200
5234033213113020000
64253231112141104
7305313151262545
oct36552277074240
97421757458114
102110221220000
11743a37957843
122a0b84997794
13123cba83808a
14741c71babcc
1539d59721cba
hex1eb52fc78a0

2110221220000 has 240 divisors, whose sum is σ = 5572205504712. Its totient is φ = 783544320000.

The previous prime is 2110221219991. The next prime is 2110221220021. The reversal of 2110221220000 is 221220112.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 603523889424 + 1506697330576 = 776868^2 + 1227476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24777490 + ... + 24862510.

Almost surely, 22110221220000 is an apocalyptic number.

2110221220000 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 2110221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786102752356).

2110221220000 is an abundant number, since it is smaller than the sum of its proper divisors (3461984284712).

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

2110221220000 is an equidigital number, since it uses as much as digits as its factorization.

2110221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85141 (or 85118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2110221220000 its reverse (221220112), we get a palindrome (2110442440112).

The spelling of 2110221220000 in words is "two trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty thousand".