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132133203000 = 23325346131847
BaseRepresentation
bin111101100001111000…
…0001010110000111000
3110122001120221012000100
41323003300022300320
54131102044444000
6140411241035400
712355245460041
oct1730360126070
9418046835010
10132133203000
1151045826117
1221737185b60
13c5c9b19526
1465769198c8
153685288a00
hex1ec3c0ac38

132133203000 has 192 divisors, whose sum is σ = 447593065920. Its totient is φ = 35157984000.

The previous prime is 132133202977. The next prime is 132133203011. The reversal of 132133203000 is 302331231.

132133203000 is a `hidden beast` number, since 1 + 32 + 1 + 332 + 0 + 300 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4133077 + ... + 4164923.

It is an arithmetic number, because the mean of its divisors is an integer number (2331213885).

Almost surely, 2132133203000 is an apocalyptic number.

132133203000 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 132133203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223796532960).

132133203000 is an abundant number, since it is smaller than the sum of its proper divisors (315459862920).

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

132133203000 is a wasteful number, since it uses less digits than its factorization.

132133203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32335 (or 32318 counting only the distinct ones).

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

Adding to 132133203000 its reverse (302331231), we get a palindrome (132435534231).

The spelling of 132133203000 in words is "one hundred thirty-two billion, one hundred thirty-three million, two hundred three thousand".