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131110132232211 = 311101199646930557
BaseRepresentation
bin11101110011111001110100…
…110110111011000000010011
3122012020000011112122210010020
4131303321310312323000103
5114141102022322412321
61142503055132234523
736421252205036556
oct3563716466730023
9565200145583106
10131110132232211
113885954967a250
121285603200ba43
13582082b568422
142453a9b1aa69d
15102571e8274c6
hex773e74dbb013

131110132232211 has 64 divisors (see below), whose sum is σ = 193597886592000. Its totient is φ = 78263938368000.

The previous prime is 131110132232207. The next prime is 131110132232243. The reversal of 131110132232211 is 112232231011131.

It is not a de Polignac number, because 131110132232211 - 22 = 131110132232207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131110132232281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4290658945 + ... + 4290689501.

It is an arithmetic number, because the mean of its divisors is an integer number (3024966978000).

Almost surely, 2131110132232211 is an apocalyptic number.

131110132232211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131110132232211 is a deficient number, since it is larger than the sum of its proper divisors (62487754359789).

131110132232211 is a wasteful number, since it uses less digits than its factorization.

131110132232211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37340.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131110132232211 its reverse (112232231011131), we get a palindrome (243342363243342).

The spelling of 131110132232211 in words is "one hundred thirty-one trillion, one hundred ten billion, one hundred thirty-two million, two hundred thirty-two thousand, two hundred eleven".

Divisors: 1 3 11 33 101 199 303 597 1111 2189 3333 6469 6567 19407 20099 30557 60297 71159 91671 213477 221089 336127 653369 663267 1008381 1287331 1960107 3086257 3861993 6080843 7187059 9258771 14160641 18242529 21561177 33948827 42481923 66889273 101846481 130020431 197673233 200667819 390061293 593019699 614165143 1430224741 1842495429 2174405563 4290674223 6523216689 6755816573 19964996533 20267449719 39336973367 59894989599 118010920101 219614961863 432706707037 658844885589 1298120121111 3973034310067 11919102930201 43703377410737 131110132232211