Search a number
-
+
13354325200 = 245253629921
BaseRepresentation
bin11000110111111101…
…01101010011010000
31021110200112000021001
430123332231103100
5204322201401300
610045045311344
7651634614466
oct143376552320
937420460231
1013354325200
1157331941a7
122708405554
13134a910798
14909840836
155325e216a
hex31bfad4d0

13354325200 has 60 divisors (see below), whose sum is σ = 32689172268. Its totient is φ = 5240934400.

The previous prime is 13354325167. The next prime is 13354325207. The reversal of 13354325200 is 252345331.

It can be written as a sum of positive squares in 6 ways, for example, as 109998144 + 13244327056 = 10488^2 + 115084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354325207) 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 11 ways as a sum of consecutive naturals, for example, 293761 + ... + 336160.

Almost surely, 213354325200 is an apocalyptic number.

13354325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13354325200 is an abundant number, since it is smaller than the sum of its proper divisors (19334847068).

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

13354325200 is a wasteful number, since it uses less digits than its factorization.

13354325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629992 (or 629981 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 13354325200 in words is "thirteen billion, three hundred fifty-four million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 629921 1259842 2519684 3149605 5039368 6299210 10078736 12598420 15748025 25196840 31496050 33385813 50393680 62992100 66771626 125984200 133543252 166929065 251968400 267086504 333858130 534173008 667716260 834645325 1335432520 1669290650 2670865040 3338581300 6677162600 13354325200