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221103442041120 = 253258591427125261
BaseRepresentation
bin110010010001011110101000…
…000111110001100100100000
31001222212021122000222010201100
4302101132220013301210200
5212440024322130303440
62102125304040034400
764400124261050322
oct6221365007614440
91058767560863640
10221103442041120
11644a5496971861
122096b3b3462a00
13964ac714a35b2
143c8566c53b612
151a8661bb85230
hexc917a81f1920

221103442041120 has 288 divisors, whose sum is σ = 755929253701440. Its totient is φ = 58850539038720.

The previous prime is 221103442041107. The next prime is 221103442041127. The reversal of 221103442041120 is 21140244301122.

221103442041120 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 0 + 344 + 204 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2211034420411202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221103442041127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765079290 + ... + 1765204550.

It is an arithmetic number, because the mean of its divisors is an integer number (2624754353130).

Almost surely, 2221103442041120 is an apocalyptic number.

221103442041120 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 221103442041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377964626850720).

221103442041120 is an abundant number, since it is smaller than the sum of its proper divisors (534825811660320).

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

221103442041120 is a wasteful number, since it uses less digits than its factorization.

221103442041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127568 (or 127557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 221103442041120 its reverse (21140244301122), we get a palindrome (242243686342242).

The spelling of 221103442041120 in words is "two hundred twenty-one trillion, one hundred three billion, four hundred forty-two million, forty-one thousand, one hundred twenty".