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133230330000 = 2432548916633
BaseRepresentation
bin111110000010100100…
…1011000000010010000
3110201220001101000022200
41330011021120002100
54140323431030000
6141112152203200
712424400056035
oct1740511300220
9421801330280
10133230330000
1151559058949
12219a2699500
13c7432025c1
14663c50b38c
1536eb753500
hex1f05258090

133230330000 has 300 divisors, whose sum is σ = 471189155580. Its totient is φ = 35126784000.

The previous prime is 133230329993. The next prime is 133230330091. The reversal of 133230330000 is 33032331.

133230330000 is a `hidden beast` number, since 1 + 332 + 3 + 0 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 130777703424 + 2452626576 = 361632^2 + 49524^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8001684 + ... + 8018316.

Almost surely, 2133230330000 is an apocalyptic number.

133230330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133230330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235594577790).

133230330000 is an abundant number, since it is smaller than the sum of its proper divisors (337958825580).

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

133230330000 is a wasteful number, since it uses less digits than its factorization.

133230330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16756 (or 16732 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 133230330000 its reverse (33032331), we get a palindrome (133263362331).

The spelling of 133230330000 in words is "one hundred thirty-three billion, two hundred thirty million, three hundred thirty thousand".