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133114044200 = 2352665570221
BaseRepresentation
bin111101111111000110…
…1110001111100101000
3110201120221120002012012
41323332031301330220
54140104143403300
6141052435535052
712421455464264
oct1737615617450
9421527502165
10133114044200
11514a9453685
122196b75a488
13c7250a9137
14662acbb0a4
1536e1433435
hex1efe371f28

133114044200 has 24 divisors (see below), whose sum is σ = 309490153230. Its totient is φ = 53245617600.

The previous prime is 133114044131. The next prime is 133114044209. The reversal of 133114044200 is 2440411331.

133114044200 is digitally balanced in base 3, 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 92113464004 + 41000580196 = 303502^2 + 202486^2 .

It is not an unprimeable number, because it can be changed into a prime (133114044209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 332784911 + ... + 332785310.

Almost surely, 2133114044200 is an apocalyptic number.

133114044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133114044200 is an abundant number, since it is smaller than the sum of its proper divisors (176376109030).

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

133114044200 is a wasteful number, since it uses less digits than its factorization.

133114044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665570237 (or 665570228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 133114044200 its reverse (2440411331), we get a palindrome (135554455531).

The spelling of 133114044200 in words is "one hundred thirty-three billion, one hundred fourteen million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 665570221 1331140442 2662280884 3327851105 5324561768 6655702210 13311404420 16639255525 26622808840 33278511050 66557022100 133114044200