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133132230000 = 24325471119211
BaseRepresentation
bin111101111111101001…
…1001001110101110000
3110201122012210000102100
41323333103021311300
54140123322330000
6141054325420400
712422066166150
oct1737723116560
9421565700370
10133132230000
1151508744970
122197586a700
13c728aa5873
14662d492760
1536e2d26a00
hex1eff4c9d70

133132230000 has 600 divisors, whose sum is σ = 580496881536. Its totient is φ = 27662400000.

The previous prime is 133132229977. The next prime is 133132230029. The reversal of 133132230000 is 32231331.

133132230000 is a `hidden beast` number, since 1 + 331 + 32 + 2 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 6920395 + ... + 6939605.

Almost surely, 2133132230000 is an apocalyptic number.

133132230000 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 133132230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290248440768).

133132230000 is an abundant number, since it is smaller than the sum of its proper divisors (447364651536).

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

133132230000 is a wasteful number, since it uses less digits than its factorization.

133132230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263 (or 19239 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133132230000 its reverse (32231331), we get a palindrome (133164461331).

The spelling of 133132230000 in words is "one hundred thirty-three billion, one hundred thirty-two million, two hundred thirty thousand".