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133403213333 = 1353255775721
BaseRepresentation
bin111110000111101110…
…0110111111000010101
3110202100002200101200002
41330033130313320111
54141202210311313
6141141245501045
712431566414055
oct1741734677025
9422302611602
10133403213333
11516376aa735
1221a30571785
13c76cc84130
146657471565
15370ba03058
hex1f0f737e15

133403213333 has 16 divisors (see below), whose sum is σ = 146434838256. Its totient is φ = 120769159680.

The previous prime is 133403213311. The next prime is 133403213389. The reversal of 133403213333 is 333312304331.

It can be written as a sum of positive squares in 8 ways, for example, as 28545116209 + 104858097124 = 168953^2 + 323818^2 .

It is a de Polignac number, because none of the positive numbers 2k-133403213333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133403213296 and 133403213305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133403213833) 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 15 ways as a sum of consecutive naturals, for example, 1723913 + ... + 1799633.

It is an arithmetic number, because the mean of its divisors is an integer number (9152177391).

Almost surely, 2133403213333 is an apocalyptic number.

133403213333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133403213333 is a deficient number, since it is larger than the sum of its proper divisors (13031624923).

133403213333 is a wasteful number, since it uses less digits than its factorization.

133403213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78344.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 133403213333 its reverse (333312304331), we get a palindrome (466715517664).

The spelling of 133403213333 in words is "one hundred thirty-three billion, four hundred three million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 13 53 689 2557 33241 75721 135521 984373 1761773 4013213 52171769 193618597 2517041761 10261785641 133403213333