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11221100221001 = 1131593851144829
BaseRepresentation
bin1010001101001001110110…
…1100010101001001001001
31110201201121202201122112112
42203102131230111021021
52432321303124033001
635510522520352105
72235461216100536
oct243223554251111
943651552648475
1011221100221001
1136369295a5490
121312883915635
136351b70482a8
142ab165ad7d8d
15146d47275cbb
hexa349db15249

11221100221001 has 32 divisors (see below), whose sum is σ = 12853674086400. Its totient is φ = 9702027720000.

The previous prime is 11221100220997. The next prime is 11221100221031. The reversal of 11221100221001 is 10012200112211.

It is not a de Polignac number, because 11221100221001 - 22 = 11221100220997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221100221031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77405855 + ... + 77550683.

It is an arithmetic number, because the mean of its divisors is an integer number (401677315200).

Almost surely, 211221100221001 is an apocalyptic number.

11221100221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221100221001 is a deficient number, since it is larger than the sum of its proper divisors (1632573865399).

11221100221001 is a wasteful number, since it uses less digits than its factorization.

11221100221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148781.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221100221001 its reverse (10012200112211), we get a palindrome (21233300333212).

The spelling of 11221100221001 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one".

Divisors: 1 11 31 59 341 649 1829 3851 20119 42361 119381 144829 227209 1313191 1593119 2499299 4489699 7043479 8544911 49386689 77478269 93994021 264892241 557736479 2913814651 6135101269 17289830849 32906452261 190188139339 361970974871 1020100020091 11221100221001