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11332110110113 = 132643811041517
BaseRepresentation
bin1010010011100111011001…
…1001011100110110100001
31111010100011020102022100001
42210321312121130312201
52441131130142010423
640033522143500001
72246501152430242
oct244716631346641
944110136368301
1011332110110113
113679a148031a1
1213302a48b7601
136427c8835600
142b2697080cc9
15149b92d54cad
hexa4e7665cda1

11332110110113 has 12 divisors (see below), whose sum is σ = 12271067173308. Its totient is φ = 10460236812480.

The previous prime is 11332110110077. The next prime is 11332110110117. The reversal of 11332110110113 is 31101101123311.

It can be written as a sum of positive squares in 6 ways, for example, as 1003747504384 + 10328362605729 = 1001872^2 + 3213777^2 .

It is not a de Polignac number, because 11332110110113 - 29 = 11332110109601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11332110110117) 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 11 ways as a sum of consecutive naturals, for example, 10359631 + ... + 11401147.

It is an arithmetic number, because the mean of its divisors is an integer number (1022588931109).

Almost surely, 211332110110113 is an apocalyptic number.

11332110110113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11332110110113 is a deficient number, since it is larger than the sum of its proper divisors (938957063195).

11332110110113 is a wasteful number, since it uses less digits than its factorization.

11332110110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105924 (or 1105911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11332110110113 its reverse (31101101123311), we get a palindrome (42433211233424).

The spelling of 11332110110113 in words is "eleven trillion, three hundred thirty-two billion, one hundred ten million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 13 169 64381 836953 1041517 10880389 13539721 176016373 67053905977 871700777701 11332110110113