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131331120330 = 23523659928843
BaseRepresentation
bin111101001001111110…
…0011101110011001010
3110112222200200011102210
41322103330131303022
54122431231322310
6140155505405550
712326336050434
oct1722374356312
9415880604383
10131331120330
1150773aa2583
12215526398b6
13c4cc8b76b7
1464dc1ab654
153639b4e820
hex1e93f1dcca

131331120330 has 64 divisors (see below), whose sum is σ = 328960051200. Its totient is φ = 33492714816.

The previous prime is 131331120311. The next prime is 131331120331. The reversal of 131331120330 is 33021133131.

131331120330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131331120297 and 131331120306.

It is not an unprimeable number, because it can be changed into a prime (131331120331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4538889 + ... + 4567731.

It is an arithmetic number, because the mean of its divisors is an integer number (5140000800).

Almost surely, 2131331120330 is an apocalyptic number.

131331120330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131331120330 is an abundant number, since it is smaller than the sum of its proper divisors (197628930870).

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

131331120330 is a wasteful number, since it uses less digits than its factorization.

131331120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35475.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131331120330 its reverse (33021133131), we get a palindrome (164352253461).

The spelling of 131331120330 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 6599 13198 19797 28843 32995 39594 57686 65990 86529 98985 144215 151777 173058 197970 288430 303554 432645 455331 663389 758885 865290 910662 1326778 1517770 1990167 2276655 3316945 3980334 4553310 6633890 9950835 19901670 190334957 380669914 571004871 951674785 1142009742 1903349570 2855024355 4377704011 5710048710 8755408022 13133112033 21888520055 26266224066 43777040110 65665560165 131331120330