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131034034341 = 3371761976581
BaseRepresentation
bin111101000001000111…
…1001011000010100101
3110112012222122122002000
41322002033023002211
54121324203044331
6140110214035513
712316100625510
oct1720217130245
9415188578060
10131034034341
1150631329471
122148b048b99
13c48319a082
1464b0955d77
15361da190e6
hex1e823cb0a5

131034034341 has 64 divisors (see below), whose sum is σ = 234980559360. Its totient is φ = 70450007040.

The previous prime is 131034034297. The next prime is 131034034343. The reversal of 131034034341 is 143430430131.

131034034341 is a `hidden beast` number, since 1 + 310 + 3 + 4 + 0 + 3 + 4 + 341 = 666.

It is not a de Polignac number, because 131034034341 - 215 = 131034001573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034034343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19907671 + ... + 19914251.

It is an arithmetic number, because the mean of its divisors is an integer number (3671571240).

Almost surely, 2131034034341 is an apocalyptic number.

It is an amenable number.

131034034341 is a deficient number, since it is larger than the sum of its proper divisors (103946525019).

131034034341 is a wasteful number, since it uses less digits than its factorization.

131034034341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12805 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131034034341 its reverse (143430430131), we get a palindrome (274464464472).

The spelling of 131034034341 in words is "one hundred thirty-one billion, thirty-four million, thirty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 6197 6581 18591 19743 43379 46067 55773 59229 105349 111877 130137 138201 167319 177687 316047 335631 390411 414603 737443 783139 948141 1006893 1171233 1243809 2212329 2349417 2844423 3020679 6636987 7048251 19910961 21144753 40782457 122347371 285477199 367042113 693301769 856431597 1101126339 2079905307 2569294791 4853112383 6239715921 7707884373 14559337149 18719147763 43678011447 131034034341