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11131033013023 = 7112943115925317
BaseRepresentation
bin1010000111111010010101…
…0001001100101100011111
31110102010010211101102101211
42201332211101030230133
52424332323422404043
635401305335445251
72226122242336420
oct241764521145437
943363124342354
1011131033013023
11360170aa50010
1212b9328526827
136298623242a1
142a6a5dd03647
15144825070a9d
hexa1fa544cb1f

11131033013023 has 32 divisors (see below), whose sum is σ = 14690056296960. Its totient is φ = 8179690296960.

The previous prime is 11131033013017. The next prime is 11131033013057. The reversal of 11131033013023 is 32031033013111.

It is a de Polignac number, because none of the positive numbers 2k-11131033013023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131033012985 and 11131033013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131033013003) 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 31 ways as a sum of consecutive naturals, for example, 57866640 + ... + 58058677.

It is an arithmetic number, because the mean of its divisors is an integer number (459064259280).

Almost surely, 211131033013023 is an apocalyptic number.

11131033013023 is a deficient number, since it is larger than the sum of its proper divisors (3559023283937).

11131033013023 is a wasteful number, since it uses less digits than its factorization.

11131033013023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115925407.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11131033013023 its reverse (32031033013111), we get a palindrome (43162066026134).

The spelling of 11131033013023 in words is "eleven trillion, one hundred thirty-one billion, thirty-three million, thirteen thousand, twenty-three".

Divisors: 1 7 11 29 43 77 203 301 319 473 1247 2233 3311 8729 13717 96019 115925317 811477219 1275178487 3361834193 4984788631 8926249409 23532839351 34893520417 36980176123 54832674941 144558870299 258861232861 383828724587 1011912092093 1590147573289 11131033013023