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11320400402311 = 7211133112151913
BaseRepresentation
bin1010010010111011110001…
…1100011101011110000111
31111002012221011112112000111
42210232330130131132013
52440433140000333221
640024304204053451
72245605034521400
oct244567434353607
944065834475014
1011320400402311
113674a559a5430
121329b77234287
13641680880020
142b1ca5c2a9a7
15149709d26be1
hexa4bbc71d787

11320400402311 has 48 divisors (see below), whose sum is σ = 15471632056608. Its totient is φ = 8142127257600.

The previous prime is 11320400402287. The next prime is 11320400402317.

11320400402311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11320400402311 - 25 = 11320400402279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320400402317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218038891 + ... + 218090803.

It is an arithmetic number, because the mean of its divisors is an integer number (322325667846).

Almost surely, 211320400402311 is an apocalyptic number.

11320400402311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11320400402311 is a deficient number, since it is larger than the sum of its proper divisors (4151231654297).

11320400402311 is a wasteful number, since it uses less digits than its factorization.

11320400402311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83072 (or 83065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 11320400 and 402311, that added together give a palindrome (11722711).

The spelling of 11320400402311 in words is "eleven trillion, three hundred twenty billion, four hundred million, four hundred two thousand, three hundred eleven".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 31121 51913 217847 342331 363391 404573 571043 674869 1524929 2396317 2543737 2832011 3997301 4450303 4724083 7423559 16774219 19824077 27981107 31152121 33068581 51964913 218064847 363754391 1615584473 11309091311 17771429203 21002598149 79163639177 124400004421 147018187043 231028579639 870800030947 1029127309301 1617200057473 11320400402311