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132033330000000 = 273257111310259
BaseRepresentation
bin11110000001010101100111…
…101110111011000010000000
3122022111021002210010120100100
4132001111213232323002000
5114301213224440000000
61144451135140322400
736545044000426302
oct3601254756730200
9568437083116310
10132033330000000
1139085025757360
1212984b3b0a3400
1358898c7068940
142486639441972
15103e7536cba00
hex781567bbb080

132033330000000 has 1536 divisors, whose sum is σ = 558006305875200. Its totient is φ = 29543040000000.

The previous prime is 132033329999993. The next prime is 132033330000007. The reversal of 132033330000000 is 33330231.

132033330000000 is a `hidden beast` number, since 1 + 32 + 0 + 333 + 300 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132033329999993) and next prime (132033330000007).

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

It is not an unprimeable number, because it can be changed into a prime (132033330000007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12869994871 + ... + 12870005129.

Almost surely, 2132033330000000 is an apocalyptic number.

132033330000000 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 132033330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279003152937600).

132033330000000 is an abundant number, since it is smaller than the sum of its proper divisors (425972975875200).

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

132033330000000 is an equidigital number, since it uses as much as digits as its factorization.

132033330000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10293 counting only the distinct ones).

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

Adding to 132033330000000 its reverse (33330231), we get a palindrome (132033363330231).

The spelling of 132033330000000 in words is "one hundred thirty-two trillion, thirty-three billion, three hundred thirty million", and thus it is an aban number.