Search a number
-
+
13120000020 = 2232572888889
BaseRepresentation
bin11000011100000001…
…10101000000010100
31020212100121001112200
430032000311000110
5203332210000040
610005515044500
7643061105631
oct141600650024
936770531480
1013120000020
115622997226
122661a40730
1313111c892a
148c6685188
1551bc57630
hex30e035014

13120000020 has 36 divisors (see below), whose sum is σ = 39797333940. Its totient is φ = 3498666624.

The previous prime is 13120000007. The next prime is 13120000031. The reversal of 13120000020 is 2000002131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1406700036 + 11713299984 = 37506^2 + 108228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13119999957 and 13120000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36444265 + ... + 36444624.

Almost surely, 213120000020 is an apocalyptic number.

13120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120000020 is an abundant number, since it is smaller than the sum of its proper divisors (26677333920).

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

13120000020 is a wasteful number, since it uses less digits than its factorization.

13120000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72888904 (or 72888899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13120000020 its reverse (2000002131), we get a palindrome (15120002151).

The spelling of 13120000020 in words is "thirteen billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72888889 145777778 218666667 291555556 364444445 437333334 656000001 728888890 874666668 1093333335 1312000002 1457777780 2186666670 2624000004 3280000005 4373333340 6560000010 13120000020