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111001001101 = 1722857134437
BaseRepresentation
bin110011101100000101…
…1001101110010001101
3101121111211222002201221
41213120023031302031
53304312224013401
6122554304403341
711006464641004
oct1473013156215
9347454862657
10111001001101
1143091198051
121961a016551
13a60c9c7953
145530111c3b
152d49e257a1
hex19d82cdc8d

111001001101 has 12 divisors (see below), whose sum is σ = 117956707828. Its totient is φ = 104434186752.

The previous prime is 111001001081. The next prime is 111001001117. The reversal of 111001001101 is 101100100111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23993700201 + 87007300900 = 154899^2 + 294970^2 .

It is not a de Polignac number, because 111001001101 - 27 = 111001000973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758455 + ... + 892891.

Almost surely, 2111001001101 is an apocalyptic number.

It is an amenable number.

111001001101 is a deficient number, since it is larger than the sum of its proper divisors (6955706727).

111001001101 is a wasteful number, since it uses less digits than its factorization.

111001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137328 (or 137311 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111001001101 its reverse (101100100111), we get a palindrome (212101101212).

It can be divided in two parts, 11100100110 and 1, that added together give a palindrome (11100100111).

The spelling of 111001001101 in words is "one hundred eleven billion, one million, one thousand, one hundred one".

Divisors: 1 17 289 2857 48569 134437 825673 2285429 38852293 384086509 6529470653 111001001101