Search a number
-
+
13434301200 = 2435211195251
BaseRepresentation
bin11001000001011111…
…10010101100010000
31021200021000012201010
430200233302230100
5210003140114300
610101023410520
7653625450615
oct144057625420
937607005633
1013434301200
115774349371
12272b153a40
131361362c68
149162dc50c
1553963da50
hex320bf2b10

13434301200 has 60 divisors (see below), whose sum is σ = 43034548688. Its totient is φ = 3582480000.

The previous prime is 13434301189. The next prime is 13434301201. The reversal of 13434301200 is 210343431.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (13434301201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5596426 + ... + 5598825.

Almost surely, 213434301200 is an apocalyptic number.

13434301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434301200 is an abundant number, since it is smaller than the sum of its proper divisors (29600247488).

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

13434301200 is a wasteful number, since it uses less digits than its factorization.

13434301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195272 (or 11195261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13434301200 its reverse (210343431), we get a palindrome (13644644631).

The spelling of 13434301200 in words is "thirteen billion, four hundred thirty-four million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11195251 22390502 33585753 44781004 55976255 67171506 89562008 111952510 134343012 167928765 179124016 223905020 268686024 279881275 335857530 447810040 537372048 559762550 671715060 839643825 895620080 1119525100 1343430120 1679287650 2239050200 2686860240 3358575300 4478100400 6717150600 13434301200