Search a number
-
+
131002130131422 = 23112968444164123
BaseRepresentation
bin11101110010010101001111…
…011011100110100111011110
3122011211200101200122121020020
4131302111033123212213132
5114132314330303201142
61142341314152333010
736410406623241264
oct3562251733464736
9564750350577206
10131002130131422
1138817767271410
12128391103a4166
1358135a8c5b604
14244c773496434
1510229ecd29cec
hex77254f6e69de

131002130131422 has 32 divisors (see below), whose sum is σ = 295678789015680. Its totient is φ = 38328731908320.

The previous prime is 131002130131409. The next prime is 131002130131459. The reversal of 131002130131422 is 224131031200131.

131002130131422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131002130131392 and 131002130131401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34222080148 + ... + 34222083975.

It is an arithmetic number, because the mean of its divisors is an integer number (9239962156740).

Almost surely, 2131002130131422 is an apocalyptic number.

131002130131422 is an abundant number, since it is smaller than the sum of its proper divisors (164676658884258).

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

131002130131422 is a wasteful number, since it uses less digits than its factorization.

131002130131422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68444164168.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131002130131422 its reverse (224131031200131), we get a palindrome (355133161331553).

The spelling of 131002130131422 in words is "one hundred thirty-one trillion, two billion, one hundred thirty million, one hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 68444164123 136888328246 205332492369 410664984738 752885805353 1505771610706 1984880759567 2258657416059 3969761519134 4517314832118 5954642278701 11909284557402 21833688355237 43667376710474 65501065065711 131002130131422