Search a number
-
+
1327122403131 = 37317357148907
BaseRepresentation
bin10011010011111110101…
…010001100111100111011
311200212112102221021210110
4103103332222030330323
5133220421313400011
62453401022515403
7164611221205110
oct23237652147473
94625472837713
101327122403131
11471913aa9098
12195256735b63
13981bb2639a5
1448339770907
15247c50d7ba6
hex134fea8cf3b

1327122403131 has 64 divisors (see below), whose sum is σ = 2119862091776. Its totient is φ = 722556806400.

The previous prime is 1327122403099. The next prime is 1327122403133. The reversal of 1327122403131 is 1313042217231.

It is not a de Polignac number, because 1327122403131 - 25 = 1327122403099 is a prime.

It is a super-2 number, since 2×13271224031312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1327122403133) 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, 27111180 + ... + 27160086.

It is an arithmetic number, because the mean of its divisors is an integer number (33122845184).

Almost surely, 21327122403131 is an apocalyptic number.

1327122403131 is a deficient number, since it is larger than the sum of its proper divisors (792739688645).

1327122403131 is a wasteful number, since it uses less digits than its factorization.

1327122403131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49592.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 1327122403131 in words is "one trillion, three hundred twenty-seven billion, one hundred twenty-two million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 73 93 217 219 511 571 651 1533 1713 2263 3997 6789 11991 15841 17701 41683 47523 48907 53103 123907 125049 146721 291781 342349 371721 875343 1027047 1292173 1516117 3570211 3876519 4548351 9045211 10612819 10710633 24991477 27135633 27925897 31838457 74974431 83777691 110676541 195481279 332029623 586443837 774735787 865702807 2038590481 2324207361 2597108421 6059919649 6115771443 14270133367 18179758947 42810400101 63196304911 189588914733 442374134377 1327122403131