Search a number
-
+
13013021300 = 2252130130213
BaseRepresentation
bin11000001111010001…
…01111001001110100
31020120220021222022212
430013220233021310
5203122313140200
65551134112552
7640321566416
oct140750571164
936526258285
1013013021300
115578569564
12263204b758
1312c4cb0806
148b63989b6
15512675035
hex307a2f274

13013021300 has 18 divisors (see below), whose sum is σ = 28238256438. Its totient is φ = 5205208480.

The previous prime is 13013021293. The next prime is 13013021327. The reversal of 13013021300 is 312031031.

13013021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4301785744 + 8711235556 = 65588^2 + 93334^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 65065007 + ... + 65065206.

Almost surely, 213013021300 is an apocalyptic number.

13013021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013021300 is an abundant number, since it is smaller than the sum of its proper divisors (15225235138).

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

13013021300 is a wasteful number, since it uses less digits than its factorization.

13013021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130130227 (or 130130220 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13013021300 its reverse (312031031), we get a palindrome (13325052331).

The spelling of 13013021300 in words is "thirteen billion, thirteen million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 130130213 260260426 520520852 650651065 1301302130 2602604260 3253255325 6506510650 13013021300