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2201110220020 = 2251193400123057
BaseRepresentation
bin100000000001111100011…
…001001000110011110100
321210102110011012120000111
4200001330121020303310
5242030333204020040
64403102010552404
7315011364112105
oct40017431106364
97712404176014
102201110220020
11779538377798
122b670b438704
1312c7438a1c6a
147876a1b03ac
153c3c8b55dea
hex2007c648cf4

2201110220020 has 48 divisors (see below), whose sum is σ = 4627562961168. Its totient is φ = 879448064000.

The previous prime is 2201110220017. The next prime is 2201110220021. The reversal of 2201110220020 is 200220111022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10437891556 + 2190672328464 = 102166^2 + 1480092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201110220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95452332 + ... + 95475388.

It is an arithmetic number, because the mean of its divisors is an integer number (96407561691).

Almost surely, 22201110220020 is an apocalyptic number.

2201110220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201110220020 is an abundant number, since it is smaller than the sum of its proper divisors (2426452741148).

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

2201110220020 is a wasteful number, since it uses less digits than its factorization.

2201110220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28260 (or 28258 counting only the distinct ones).

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

Adding to 2201110220020 its reverse (200220111022), we get a palindrome (2401330331042).

The spelling of 2201110220020 in words is "two trillion, two hundred one billion, one hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1193 2386 4001 4772 5965 8002 11930 16004 20005 23057 23860 40010 46114 80020 92228 115285 230570 461140 4773193 9546386 19092772 23865965 27507001 47731930 55014002 92251057 95463860 110028004 137535005 184502114 275070010 369004228 461255285 550140020 922510570 1845021140 110055511001 220111022002 440222044004 550277555005 1100555110010 2201110220020