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131727121427 = 112337611971171
BaseRepresentation
bin111101010101110001…
…1000101110000010011
3110121000021211002211002
41322223203011300103
54124234120341202
6140303053212215
712342215025536
oct1725343056023
9417007732732
10131727121427
1150957587010
122164319106b
13c563958a85
146538a10a1d
15365e7c3302
hex1eab8c5c13

131727121427 has 64 divisors (see below), whose sum is σ = 157456493568. Its totient is φ = 108972864000.

The previous prime is 131727121397. The next prime is 131727121441. The reversal of 131727121427 is 724121727131.

It is a happy number.

It is not a de Polignac number, because 131727121427 - 222 = 131722927123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131727121027) 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 63 ways as a sum of consecutive naturals, for example, 112490552 + ... + 112491722.

It is an arithmetic number, because the mean of its divisors is an integer number (2460257712).

Almost surely, 2131727121427 is an apocalyptic number.

131727121427 is a deficient number, since it is larger than the sum of its proper divisors (25729372141).

131727121427 is a wasteful number, since it uses less digits than its factorization.

131727121427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500.

The product of its digits is 32928, while the sum is 38.

Adding to 131727121427 its reverse (724121727131), we get a palindrome (855848848558).

The spelling of 131727121427 in words is "one hundred thirty-one billion, seven hundred twenty-seven million, one hundred twenty-one thousand, four hundred twenty-seven".

Divisors: 1 11 23 37 61 197 253 407 671 851 1171 1403 2167 2257 4531 7289 9361 12017 12881 15433 24827 26933 43327 49841 51911 71431 80179 132187 167647 230687 276391 296263 444629 476597 571021 785741 996521 1642913 1844117 2537557 2642947 3040301 4890919 5305801 8535419 10226467 10961731 14071907 18072043 29072417 58363811 60787781 93889609 112491137 154790977 196314637 323653861 520660559 668665591 2159461007 3560192471 5727266149 11975192857 131727121427