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130012011013 = 232594165583
BaseRepresentation
bin111100100010101010…
…0011101101000000101
3110102120202112110122011
41321011110131220011
54112231033323023
6135420544334221
712251550600613
oct1710524355005
9412522473564
10130012011013
1150157433195
1221244914371
13c34c51b841
146414d146b3
1535ade3750d
hex1e4551da05

130012011013 has 12 divisors (see below), whose sum is σ = 138214077120. Its totient is φ = 122251500536.

The previous prime is 130012011011. The next prime is 130012011029. The reversal of 130012011013 is 310110210031.

It is not a de Polignac number, because 130012011013 - 21 = 130012011011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130012010984 and 130012011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012011011) 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 11 ways as a sum of consecutive naturals, for example, 2051581 + ... + 2114002.

It is an arithmetic number, because the mean of its divisors is an integer number (11517839760).

Almost surely, 2130012011013 is an apocalyptic number.

It is an amenable number.

130012011013 is a deficient number, since it is larger than the sum of its proper divisors (8202066107).

130012011013 is an equidigital number, since it uses as much as digits as its factorization.

130012011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165688 (or 4165665 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 130012011013 its reverse (310110210031), we get a palindrome (440122221044).

The spelling of 130012011013 in words is "one hundred thirty billion, twelve million, eleven thousand, thirteen".

Divisors: 1 23 59 529 1357 31211 4165583 95808409 245769397 2203593407 5652696131 130012011013