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13033222312011 = 3112307155375307
BaseRepresentation
bin1011110110101000100010…
…0101100001000001001011
31201010222000200010211201220
42331222020211201001023
53202014014402441021
643415214002013123
72513422253526036
oct275521045410113
951128020124656
1013033222312011
1141753a4246500
121565b139471a3
137370488018c5
14330b503c601d
15179056119cc6
hexbda8896104b

13033222312011 has 48 divisors (see below), whose sum is σ = 19175843524992. Its totient is φ = 7868019075840.

The previous prime is 13033222311937. The next prime is 13033222312013. The reversal of 13033222312011 is 11021322233031.

It is not a de Polignac number, because 13033222312011 - 27 = 13033222311883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13033222312013) 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 47 ways as a sum of consecutive naturals, for example, 173030220 + ... + 173105526.

It is an arithmetic number, because the mean of its divisors is an integer number (399496740104).

Almost surely, 213033222312011 is an apocalyptic number.

13033222312011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13033222312011 is a deficient number, since it is larger than the sum of its proper divisors (6142621212981).

13033222312011 is a wasteful number, since it uses less digits than its factorization.

13033222312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77192 (or 77181 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13033222312011 its reverse (11021322233031), we get a palindrome (24054544545042).

The spelling of 13033222312011 in words is "thirteen trillion, thirty-three billion, two hundred twenty-two million, three hundred twelve thousand, eleven".

Divisors: 1 3 11 33 121 307 363 921 1553 3377 4659 10131 17083 37147 51249 75307 111441 187913 225921 476771 563739 828377 1430313 2485131 5244481 9112147 15733443 23119249 27336441 57689291 69357747 116951771 173067873 254311739 350855313 762935217 1286469481 2797429129 3859408443 8392287387 14151164291 35904193697 42453492873 107712581091 394946130667 1184838392001 4344407437337 13033222312011