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2110222211020 = 2257114334991309
BaseRepresentation
bin11110101101010011000…
…010111001011111001100
321110201212000101022112221
4132231103002321133030
5234033213341223040
64253231145305124
7305313162561040
oct36552302713714
97421760338487
102110222211020
11743a38474370
122a0b851951a4
13123cbaac4191
14741c7398020
1539d5986a74a
hex1eb530b97cc

2110222211020 has 192 divisors, whose sum is σ = 5669693568000. Its totient is φ = 640587709440.

The previous prime is 2110222211017. The next prime is 2110222211051. The reversal of 2110222211020 is 201122220112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2110222210985 and 2110222211003.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23065126 + ... + 23156434.

It is an arithmetic number, because the mean of its divisors is an integer number (29529654000).

Almost surely, 22110222211020 is an apocalyptic number.

2110222211020 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 2110222211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834846784000).

2110222211020 is an abundant number, since it is smaller than the sum of its proper divisors (3559471356980).

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

2110222211020 is a wasteful number, since it uses less digits than its factorization.

2110222211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91728 (or 91726 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2110222211020 its reverse (201122220112), we get a palindrome (2311344431132).

The spelling of 2110222211020 in words is "two trillion, one hundred ten billion, two hundred twenty-two million, two hundred eleven thousand, twenty".