Search a number
-
+
13120433300 = 2252132776357
BaseRepresentation
bin11000011100000100…
…11110110010010100
31020212101102001220002
430032002132302110
5203332312331200
610005532230432
7643064562062
oct141602366224
936771361802
1013120433300
115623162807
12266200b418
13131131ac00
148c6759032
1551bce0bd5
hex30e09ec94

13120433300 has 54 divisors (see below), whose sum is σ = 30829952538. Its totient is φ = 4844461440.

The previous prime is 13120433297. The next prime is 13120433317. The reversal of 13120433300 is 333402131.

It can be written as a sum of positive squares in 9 ways, for example, as 3565761796 + 9554671504 = 59714^2 + 97748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 371279 + ... + 405078.

It is an arithmetic number, because the mean of its divisors is an integer number (570925047).

Almost surely, 213120433300 is an apocalyptic number.

13120433300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120433300 is an abundant number, since it is smaller than the sum of its proper divisors (17709519238).

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

13120433300 is a wasteful number, since it uses less digits than its factorization.

13120433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776397 (or 776377 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13120433300 its reverse (333402131), we get a palindrome (13453835431).

The spelling of 13120433300 in words is "thirteen billion, one hundred twenty million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 776357 1552714 3105428 3881785 7763570 10092641 15527140 19408925 20185282 38817850 40370564 50463205 77635700 100926410 131204333 201852820 252316025 262408666 504632050 524817332 656021665 1009264100 1312043330 2624086660 3280108325 6560216650 13120433300