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221042034020 = 22511052101701
BaseRepresentation
bin1100110111011100100…
…0011100010101100100
3210010112210120202200202
43031313020130111210
512110143230042040
6245313441530032
721653425200653
oct3156710342544
9703483522622
10221042034020
118581a513865
1236a0a643918
1317ac8860592
14a9ac93719a
155b3a926015
hex337721c564

221042034020 has 12 divisors (see below), whose sum is σ = 464188271484. Its totient is φ = 88416813600.

The previous prime is 221042034019. The next prime is 221042034061. The reversal of 221042034020 is 20430240122.

221042034020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145452229924 + 75589804096 = 381382^2 + 274936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11052101701 = 221042034020 / (2 + 2 + 1 + 0 + 4 + 2 + 0 + 3 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 221042033983 and 221042034001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5526050831 + ... + 5526050870.

It is an arithmetic number, because the mean of its divisors is an integer number (38682355957).

Almost surely, 2221042034020 is an apocalyptic number.

221042034020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221042034020 is an abundant number, since it is smaller than the sum of its proper divisors (243146237464).

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

221042034020 is a wasteful number, since it uses less digits than its factorization.

221042034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052101710 (or 11052101708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 221042034020 its reverse (20430240122), we get a palindrome (241472274142).

The spelling of 221042034020 in words is "two hundred twenty-one billion, forty-two million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 11052101701 22104203402 44208406804 55260508505 110521017010 221042034020