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130130010213 = 37231390719373
BaseRepresentation
bin111100100110001011…
…0100110000001100101
3110102212222120110002220
41321030112212001211
54113001240311323
6135440401422553
712254512556610
oct1711426460145
9412788513086
10130130010213
1150207aa8795
122127833aa59
13c36aac4b58
14642686d177
1535b94950e3
hex1e4c5a6065

130130010213 has 32 divisors (see below), whose sum is σ = 206940358656. Its totient is φ = 71118176448.

The previous prime is 130130010191. The next prime is 130130010217. The reversal of 130130010213 is 312010031031.

It is not a de Polignac number, because 130130010213 - 229 = 129593139301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130130010192 and 130130010201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130010217) 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, 6707395 + ... + 6726767.

It is an arithmetic number, because the mean of its divisors is an integer number (6466886208).

Almost surely, 2130130010213 is an apocalyptic number.

It is an amenable number.

130130010213 is a deficient number, since it is larger than the sum of its proper divisors (76810348443).

130130010213 is a wasteful number, since it uses less digits than its factorization.

130130010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33313.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130130010213 its reverse (312010031031), we get a palindrome (442140041244).

The spelling of 130130010213 in words is "one hundred thirty billion, one hundred thirty million, ten thousand, two hundred thirteen".

Divisors: 1 3 7 21 23 69 161 483 13907 19373 41721 58119 97349 135611 292047 319861 406833 445579 959583 1336737 2239027 3119053 6717081 9357159 269420311 808260933 1885942177 5657826531 6196667153 18590001459 43376670071 130130010213