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130213110313 = 1113282385109
BaseRepresentation
bin111100101000101001…
…1100110001000101001
3110110002202221101000101
41321101103212020221
54113134024012223
6135452530505401
712256542114136
oct1712123461051
9413082841011
10130213110313
115024a9a7060
12212a0135261
13c38209c300
14643390158d
1535c190c4ad
hex1e514e6229

130213110313 has 24 divisors (see below), whose sum is σ = 154006885440. Its totient is φ = 109135690560.

The previous prime is 130213110259. The next prime is 130213110347. The reversal of 130213110313 is 313011312031.

It is not a de Polignac number, because 130213110313 - 29 = 130213109801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130213110373) 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, 1487403 + ... + 1572511.

It is an arithmetic number, because the mean of its divisors is an integer number (6416953560).

Almost surely, 2130213110313 is an apocalyptic number.

130213110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130213110313 is a deficient number, since it is larger than the sum of its proper divisors (23793775127).

130213110313 is a wasteful number, since it uses less digits than its factorization.

130213110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85969 (or 85956 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130213110313 its reverse (313011312031), we get a palindrome (443224422344).

The spelling of 130213110313 in words is "one hundred thirty billion, two hundred thirteen million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 11 13 143 169 823 1859 9053 10699 85109 117689 139087 936199 1106417 1529957 12170587 14383421 70044707 158217631 770491777 910581191 10016393101 11837555483 130213110313