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11131201323 = 32113722313627
BaseRepresentation
bin10100101110111100…
…01010011100101011
31001201202022121121200
422113132022130223
5140244041420243
65040312135243
7542561435664
oct122736123453
931652277550
1011131201323
1147a2300340
1221a7997523
131085173b78
147784a436b
15452358ad3
hex29778a72b

11131201323 has 48 divisors (see below), whose sum is σ = 18096239616. Its totient is φ = 6533939520.

The previous prime is 11131201313. The next prime is 11131201369. The reversal of 11131201323 is 32310213111.

11131201323 is a `hidden beast` number, since 11 + 131 + 201 + 323 = 666.

It is not a de Polignac number, because 11131201323 - 221 = 11129104171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131201296 and 11131201305.

It is not an unprimeable number, because it can be changed into a prime (11131201313) 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, 810036 + ... + 823662.

It is an arithmetic number, because the mean of its divisors is an integer number (377004992).

Almost surely, 211131201323 is an apocalyptic number.

11131201323 is a deficient number, since it is larger than the sum of its proper divisors (6965038293).

11131201323 is a wasteful number, since it uses less digits than its factorization.

11131201323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131201323 its reverse (32310213111), we get a palindrome (43441414434).

The spelling of 11131201323 in words is "eleven billion, one hundred thirty-one million, two hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 11 33 37 99 111 223 333 407 669 1221 2007 2453 3663 7359 8251 13627 22077 24753 40881 74259 90761 122643 149897 272283 449691 504199 816849 1349073 1512597 3038821 4537791 5546189 9116463 16638567 27349389 33427031 49915701 100281093 112436377 300843279 337309131 1011927393 1236800147 3710400441 11131201323