Search a number
-
+
131330630305 = 57441266821
BaseRepresentation
bin111101001001111101…
…0100110001010100001
3110112222122202021020201
41322103322212022201
54122431120132210
6140155451105201
712326331640000
oct1722372461241
9415878667221
10131330630305
11507737983a6
1221552442201
13c4cc775644
1464dc0c0c37
153639aa453a
hex1e93ea62a1

131330630305 has 40 divisors (see below), whose sum is σ = 188336842344. Its totient is φ = 87858489600.

The previous prime is 131330630279. The next prime is 131330630311. The reversal of 131330630305 is 503036033131.

It can be written as a sum of positive squares in 4 ways, for example, as 986525281 + 130344105024 = 31409^2 + 361032^2 .

It is not a de Polignac number, because 131330630305 - 225 = 131297075873 is a prime.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 358795 + ... + 625615.

Almost surely, 2131330630305 is an apocalyptic number.

It is an amenable number.

131330630305 is a deficient number, since it is larger than the sum of its proper divisors (57006212039).

131330630305 is an frugal number, since it uses more digits than its factorization.

131330630305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266895 (or 266874 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 131330630305 its reverse (503036033131), we get a palindrome (634366663436).

The spelling of 131330630305 in words is "one hundred thirty-one billion, three hundred thirty million, six hundred thirty thousand, three hundred five".

Divisors: 1 5 7 35 41 49 205 245 287 343 1435 1715 2009 2401 10045 12005 14063 70315 98441 266821 492205 1334105 1867747 9338735 10939661 13074229 54698305 65371145 76577627 91519603 382888135 457598015 536043389 640637221 2680216945 3203186105 3752303723 18761518615 26266126061 131330630305