Search a number
-
+
131334403330 = 25134153464917
BaseRepresentation
bin111101001010000100…
…0111111010100000010
3110112222220211221212101
41322110020333110002
54122433101401310
6140200104021014
712326406003034
oct1722410772402
9415886757771
10131334403330
11507759350a9
122155376176a
13c500496ac0
1464dc7c3c54
15363a09c43a
hex1e9423f502

131334403330 has 64 divisors (see below), whose sum is σ = 265717374048. Its totient is φ = 46417213440.

The previous prime is 131334403313. The next prime is 131334403331. The reversal of 131334403330 is 33304433131.

It can be written as a sum of positive squares in 16 ways, for example, as 11590029649 + 119744373681 = 107657^2 + 346041^2 .

It is not an unprimeable number, because it can be changed into a prime (131334403331) 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 31 ways as a sum of consecutive naturals, for example, 50032 + ... + 514948.

Almost surely, 2131334403330 is an apocalyptic number.

131334403330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131334403330 is an abundant number, since it is smaller than the sum of its proper divisors (134382970718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131334403330 is a wasteful number, since it uses less digits than its factorization.

131334403330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465031.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 131334403330 its reverse (33304433131), we get a palindrome (164638836461).

The spelling of 131334403330 in words is "one hundred thirty-one billion, three hundred thirty-four million, four hundred three thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 41 53 65 82 106 130 205 265 410 530 533 689 1066 1378 2173 2665 3445 4346 5330 6890 10865 21730 28249 56498 141245 282490 464917 929834 2324585 4649170 6043921 12087842 19061597 24640601 30219605 38123194 49281202 60439210 95307985 123203005 190615970 246406010 247800761 320327813 495601522 640655626 1010264641 1239003805 1601639065 2020529282 2478007610 3203278130 5051323205 10102646410 13133440333 26266880666 65667201665 131334403330