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11001111220221 = 331227831162701
BaseRepresentation
bin1010000000010110010101…
…0100111000111111111101
31102221200210100121111212220
42200011211110320333331
52420220233433021341
635221501332515553
72213542535330403
oct240054524707775
942850710544786
1011001111220221
1135615aa538131
121298109a7bbb9
1361a528702b05
142a0656d95473
1514126e009a66
hexa0165538ffd

11001111220221 has 32 divisors (see below), whose sum is σ = 15210088636416. Its totient is φ = 7065261720000.

The previous prime is 11001111220199. The next prime is 11001111220223. The reversal of 11001111220221 is 12202211110011.

It is a happy number.

It is not a de Polignac number, because 11001111220221 - 211 = 11001111218173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001111220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175422171 + ... + 175484871.

It is an arithmetic number, because the mean of its divisors is an integer number (475315269888).

Almost surely, 211001111220221 is an apocalyptic number.

It is an amenable number.

11001111220221 is a deficient number, since it is larger than the sum of its proper divisors (4208977416195).

11001111220221 is a wasteful number, since it uses less digits than its factorization.

11001111220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71273.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001111220221 its reverse (12202211110011), we get a palindrome (23203322330232).

The spelling of 11001111220221 in words is "eleven trillion, one billion, one hundred eleven million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 31 93 227 681 7037 8311 21111 24933 62701 188103 257641 772923 1886597 1943731 5659791 5831193 14233127 42699381 58484507 175453521 441226937 521108011 1323680811 1563324033 16154348341 48463045023 118291518497 354874555491 3667037073407 11001111220221