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11131011221033 = 112373596925531
BaseRepresentation
bin1010000111111010001111…
…1110000100011000101001
31110102010002022101021102002
42201332203332010120221
52424332302333033113
635401303240420345
72226121556165054
oct241764376043051
943363068337362
1011131011221033
1136016a9716400
1212b93211776b5
1362985a964312
142a6a5b06da9b
151448231b8c58
hexa1fa3f84629

11131011221033 has 24 divisors (see below), whose sum is σ = 12600589942080. Its totient is φ = 9818185370400.

The previous prime is 11131011221027. The next prime is 11131011221047. The reversal of 11131011221033 is 33012211013111.

11131011221033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11131011221033 - 218 = 11131010958889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131011220996 and 11131011221014.

It is not an unprimeable number, because it can be changed into a prime (11131011221003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855523 + ... + 5070008.

It is an arithmetic number, because the mean of its divisors is an integer number (525024580920).

Almost surely, 211131011221033 is an apocalyptic number.

It is an amenable number.

11131011221033 is a deficient number, since it is larger than the sum of its proper divisors (1469578721047).

11131011221033 is a wasteful number, since it uses less digits than its factorization.

11131011221033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925949 (or 6925938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11131011221033 its reverse (33012211013111), we get a palindrome (44143222234144).

The spelling of 11131011221033 in words is "eleven trillion, one hundred thirty-one billion, eleven million, two hundred twenty-one thousand, thirty-three".

Divisors: 1 11 37 121 359 407 3949 4477 13283 43439 146113 1607243 6925531 76180841 256244647 837989251 2486265629 2818691117 27348921919 31005602287 91991828273 300838141109 1011910111003 11131011221033