Search a number
-
+
11001100100109 = 372311439548143
BaseRepresentation
bin1010000000010110010010…
…1010011110001000001101
31102221200202120200112221220
42200011210222132020031
52420220223111200414
635221500254313553
72213542341654300
oct240054452361015
942850676615856
1011001100100109
1135615a4232459
1212981061b88b9
1361a52630b472
142a06556dcb37
1514126d05eca9
hexa0164a9e20d

11001100100109 has 48 divisors (see below), whose sum is σ = 17156819496960. Its totient is φ = 6251844543840.

The previous prime is 11001100100063. The next prime is 11001100100153. The reversal of 11001100100109 is 90100100110011.

It is not a de Polignac number, because 11001100100109 - 212 = 11001100096013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100100209) 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 47 ways as a sum of consecutive naturals, for example, 19795692 + ... + 20343834.

It is an arithmetic number, because the mean of its divisors is an integer number (357433739520).

Almost surely, 211001100100109 is an apocalyptic number.

It is an amenable number.

11001100100109 is a deficient number, since it is larger than the sum of its proper divisors (6155719396851).

11001100100109 is a wasteful number, since it uses less digits than its factorization.

11001100100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548910 (or 548903 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 11001100100109 in words is "eleven trillion, one billion, one hundred million, one hundred thousand, one hundred nine".

Divisors: 1 3 7 21 49 147 311 439 933 1317 2177 3073 6531 9219 15239 21511 45717 64533 136529 409587 548143 955703 1644429 2867109 3837001 6689921 11511003 20069763 26859007 80577021 170472473 240634777 511417419 721904331 1193307311 1684443439 3579921933 5053330317 8353151177 11791104073 25059453531 35373312219 74837415647 224512246941 523861909529 1571585728587 3667033366703 11001100100109