Search a number
-
+
1305131140521 = 3213193474673623
BaseRepresentation
bin10010111111011111111…
…000001100010110101001
311121202202211111101202200
4102333133320030112221
5132340402032444041
62435322521450413
7163202236436625
oct22773770142651
94552684441680
101305131140521
1146355955aa9a
12190b39940a09
13960c5180970
1447250c26185
1523e396331b6
hex12fdfe0c5a9

1305131140521 has 96 divisors (see below), whose sum is σ = 2148397655040. Its totient is φ = 756859842432.

The previous prime is 1305131140513. The next prime is 1305131140549. The reversal of 1305131140521 is 1250411315031.

1305131140521 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 131 + 1 + 4 + 0 + 521 = 666.

It is not a de Polignac number, because 1305131140521 - 23 = 1305131140513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1305131140501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360233116 + ... + 360236738.

It is an arithmetic number, because the mean of its divisors is an integer number (22379142240).

Almost surely, 21305131140521 is an apocalyptic number.

It is an amenable number.

1305131140521 is a deficient number, since it is larger than the sum of its proper divisors (843266514519).

1305131140521 is a wasteful number, since it uses less digits than its factorization.

1305131140521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1305131140521 its reverse (1250411315031), we get a palindrome (2555542455552).

The spelling of 1305131140521 in words is "one trillion, three hundred five billion, one hundred thirty-one million, one hundred forty thousand, five hundred twenty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 347 467 741 1041 1401 2223 3123 3623 4203 4511 6071 6593 8873 10869 13533 18213 19779 26619 32607 40599 47099 54639 59337 68837 79857 85709 115349 141297 162049 206511 257127 346047 423891 486147 619533 771381 894881 1038141 1257181 1458441 1691941 2106637 2684643 3078931 3771543 5075823 6319911 8053929 9236793 11314629 15227469 16343353 18959733 21995233 23886439 27710379 32146879 40026103 49030059 65985699 71659317 96440637 120078309 147090177 197957097 214977951 289321911 310523707 360234927 417909427 587103527 931571121 1253728281 1761310581 2794713363 3761184843 5283931743 7632345851 11154967013 22897037553 33464901039 68691112659 100394703117 145014571169 435043713507 1305131140521