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121320211131 = 33711312744729
BaseRepresentation
bin111000011111100111…
…1111000001010111011
3102121011000101021201000
41300333033320022323
53441430433224011
6131422253100043
711523266531310
oct1607717701273
9377130337630
10121320211131
11474a71072a9
121b619a87623
13b59587a8a2
145c2c808d07
153250d39356
hex1c3f3f82bb

121320211131 has 64 divisors (see below), whose sum is σ = 208864051200. Its totient is φ = 68169765888.

The previous prime is 121320211127. The next prime is 121320211141. The reversal of 121320211131 is 131112023121.

121320211131 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 211 + 131 = 666.

It is not a de Polignac number, because 121320211131 - 22 = 121320211127 is a prime.

It is a super-2 number, since 2×1213202111312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121320211141) 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 63 ways as a sum of consecutive naturals, for example, 2689975 + ... + 2734703.

It is an arithmetic number, because the mean of its divisors is an integer number (3263500800).

Almost surely, 2121320211131 is an apocalyptic number.

121320211131 is a deficient number, since it is larger than the sum of its proper divisors (87543840069).

121320211131 is a wasteful number, since it uses less digits than its factorization.

121320211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44985 (or 44979 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121320211131 its reverse (131112023121), we get a palindrome (252432234252).

The spelling of 121320211131 in words is "one hundred twenty-one billion, three hundred twenty million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 113 127 189 339 381 791 889 1017 1143 2373 2667 3051 3429 7119 8001 14351 21357 24003 43053 44729 100457 129159 134187 301371 313103 387477 402561 904113 939309 1207683 2712339 2817927 5054377 5680583 8453781 15163131 17041749 35380639 39764081 45489393 51125247 106141917 119292243 136468179 153375741 318425751 357876729 641905879 955277253 1073630187 1925717637 4493341153 5777152911 13480023459 17331458733 40440070377 121320211131