Search a number
-
+
130213010213 = 111319471019687
BaseRepresentation
bin111100101000101001…
…1001101101100100101
3110110002202202021200222
41321101103031230211
54113134012311323
6135452524414125
712256541216246
oct1712123155445
9413082667628
10130213010213
115024a938930
12212a00a7345
13c382065890
1464338b6ccd
1535c18dc9c8
hex1e514cdb25

130213010213 has 32 divisors (see below), whose sum is σ = 164455280640. Its totient is φ = 101316000960.

The previous prime is 130213010209. The next prime is 130213010299. The reversal of 130213010213 is 312010312031.

It is a cyclic number.

It is not a de Polignac number, because 130213010213 - 22 = 130213010209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130213010191 and 130213010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213010413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382145 + ... + 637542.

It is an arithmetic number, because the mean of its divisors is an integer number (5139227520).

Almost surely, 2130213010213 is an apocalyptic number.

130213010213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130213010213 is a deficient number, since it is larger than the sum of its proper divisors (34242270427).

130213010213 is a wasteful number, since it uses less digits than its factorization.

130213010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019777.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130213010213 its reverse (312010312031), we get a palindrome (442223322244).

The spelling of 130213010213 in words is "one hundred thirty billion, two hundred thirteen million, ten thousand, two hundred thirteen".

Divisors: 1 11 13 19 47 143 209 247 517 611 893 2717 6721 9823 11609 127699 1019687 11216557 13255931 19374053 47925289 145815241 213114583 251862689 527178179 623028757 910580491 2770489579 6853316327 10016385401 11837546383 130213010213