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11131142142111 = 3172973929110977
BaseRepresentation
bin1010000111111010101111…
…0001011111100010011111
31110102010102102201202100220
42201332223301133202133
52424333034342021421
635401324234452423
72226125036043135
oct241765361374237
943363372652326
1011131142142111
113601766607342
1212b9358b94113
1362987bb13104
142a6a705cd755
1514482e92a3c6
hexa1fabc5f89f

11131142142111 has 64 divisors (see below), whose sum is σ = 16497012873600. Its totient is φ = 6643815284736.

The previous prime is 11131142142101. The next prime is 11131142142139. The reversal of 11131142142111 is 11124124113111.

It is not a de Polignac number, because 11131142142111 - 27 = 11131142141983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131142142101) 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, 100245855 + ... + 100356831.

It is an arithmetic number, because the mean of its divisors is an integer number (257765826150).

Almost surely, 211131142142111 is an apocalyptic number.

11131142142111 is a deficient number, since it is larger than the sum of its proper divisors (5365870731489).

11131142142111 is a wasteful number, since it uses less digits than its factorization.

11131142142111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112028.

The product of its digits is 192, while the sum is 24.

Adding to 11131142142111 its reverse (11124124113111), we get a palindrome (22255266255222).

The spelling of 11131142142111 in words is "eleven trillion, one hundred thirty-one billion, one hundred forty-two million, one hundred forty-two thousand, one hundred eleven".

Divisors: 1 3 17 29 51 73 87 219 493 929 1241 1479 2117 2787 3723 6351 15793 26941 35989 47379 67817 80823 107967 110977 203451 332931 457997 1152889 1373991 1886609 1966693 3218333 3458667 5659827 5900079 8101321 9654999 24303963 33433781 54711661 100301343 103097633 137722457 164134983 234938309 309292899 413167371 704814927 1752659761 2989831357 3993951253 5257979283 7526127209 8969494071 11981853759 22578381627 50827133069 127944162553 152481399207 218257689061 383832487659 654773067183 3710380714037 11131142142111