Search a number
-
+
131103330319 = 13217113403831
BaseRepresentation
bin111101000011001011…
…1100001000000001111
3110112101211001020021201
41322012113201000033
54121444423032234
6140121131210331
712320601630553
oct1720627410017
9415354036251
10131103330319
1150667459575
12214aa2a69a7
13c494650300
1464b9c33863
153624b56314
hex1e865e100f

131103330319 has 24 divisors (see below), whose sum is σ = 151645377312. Its totient is φ = 112891484160.

The previous prime is 131103330317. The next prime is 131103330401. The reversal of 131103330319 is 913033301131.

It is a happy number.

It is not a de Polignac number, because 131103330319 - 21 = 131103330317 is a prime.

It is a super-2 number, since 2×1311033303192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103330317) 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 23 ways as a sum of consecutive naturals, for example, 122734 + ... + 526564.

It is an arithmetic number, because the mean of its divisors is an integer number (6318557388).

Almost surely, 2131103330319 is an apocalyptic number.

131103330319 is a deficient number, since it is larger than the sum of its proper divisors (20542046993).

131103330319 is a wasteful number, since it uses less digits than its factorization.

131103330319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403987 (or 403974 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 28.

The spelling of 131103330319 in words is "one hundred thirty-one billion, one hundred three million, three hundred thirty thousand, three hundred nineteen".

Divisors: 1 13 17 113 169 221 1469 1921 2873 19097 24973 324649 403831 5249803 6865127 45632903 68247439 89246651 593227739 775759351 1160206463 7711960607 10084871563 131103330319