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13011041230011 = 3211731800337793
BaseRepresentation
bin1011110101010101111001…
…1111011001110010111011
31201001211202211112010110100
42331111132133121302323
53201133103023330021
643401105000250443
72512005505454346
oct275253637316273
951054684463410
1013011041230011
114166a51639280
121561763470a23
13734c222ba406
1432da4858945d
151786a8b6c626
hexbd55e7d9cbb

13011041230011 has 24 divisors (see below), whose sum is σ = 20783099493936. Its totient is φ = 7777459261440.

The previous prime is 13011041229971. The next prime is 13011041230013. The reversal of 13011041230011 is 11003214011031.

It is a happy number.

13011041230011 is a `hidden beast` number, since 1 + 301 + 10 + 41 + 2 + 300 + 11 = 666.

It is not a de Polignac number, because 13011041230011 - 26 = 13011041229947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13011041230013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900161670 + ... + 900176123.

It is an arithmetic number, because the mean of its divisors is an integer number (865962478914).

Almost surely, 213011041230011 is an apocalyptic number.

13011041230011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13011041230011 is a deficient number, since it is larger than the sum of its proper divisors (7772058263925).

13011041230011 is a wasteful number, since it uses less digits than its factorization.

13011041230011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800337883 (or 1800337880 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13011041230011 its reverse (11003214011031), we get a palindrome (24014255241042).

The spelling of 13011041230011 in words is "thirteen trillion, eleven billion, forty-one million, two hundred thirty thousand, eleven".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 1800337793 5401013379 16203040137 19803715723 59411147169 131424658889 178233441507 394273976667 1182821930001 1445671247779 4337013743337 13011041230011