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11800221171025 = 527620032
BaseRepresentation
bin1010101110110111001111…
…1111011011110101010001
31112210002102200222001220111
42223231303333123311101
53021313323104433100
641032540300241321
72325352324000000
oct253556377336521
945702380861814
1011800221171025
11383a49a246781
1213a6b66240241
136779aa15b151
142cb1c3030c37
15156e3e0d86ba
hexabb73fdbd51

11800221171025 has 63 divisors (see below), whose sum is σ = 17079492852571. Its totient is φ = 8087540501040.

The previous prime is 11800221170939. The next prime is 11800221171029. The reversal of 11800221171025 is 52017112200811.

The square root of 11800221171025 is 3435145.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4248079621569 + 7552141549456 = 2061087^2 + 2748116^2 .

It is not a de Polignac number, because 11800221171025 - 221 = 11800219073873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11800221171029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5891272674 + ... + 5891274676.

Almost surely, 211800221171025 is an apocalyptic number.

11800221171025 is the 3435145-th square number.

11800221171025 is the 1717573-rd centered octagonal number.

It is an amenable number.

11800221171025 is a deficient number, since it is larger than the sum of its proper divisors (5279271681546).

11800221171025 is an frugal number, since it uses more digits than its factorization.

11800221171025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 31.

Adding to 11800221171025 its reverse (52017112200811), we get a palindrome (63817333371836).

The spelling of 11800221171025 in words is "eleven trillion, eight hundred billion, two hundred twenty-one million, one hundred seventy-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2003 2401 8575 10015 12005 14021 16807 50075 60025 70105 84035 98147 117649 350525 420175 490735 588245 687029 2453675 2941225 3435145 4012009 4809203 17175725 20060045 24046015 28084063 33664421 100300225 120230075 140420315 168322105 196588441 235650947 702101575 841610525 982942205 1178254735 1376119087 4914711025 5891273675 6880595435 9632833609 34402977175 48164168045 67429835263 240820840225 337149176315 472008846841 1685745881575 2360044234205 11800221171025