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132010112000 = 210531379333
BaseRepresentation
bin111101011110001101…
…0100111010000000000
3110121202000022111220102
41322330122213100000
54130324042041000
6140351122501532
712352222303124
oct1727432472000
9417660274812
10132010112000
1150a922a3018
1221701b048a8
13c5aa47c710
146564437584
1536795723d5
hex1ebc6a7400

132010112000 has 176 divisors, whose sum is σ = 354674388432. Its totient is φ = 48741580800.

The previous prime is 132010111999. The next prime is 132010112011. The reversal of 132010112000 is 211010231.

132010112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 70696428544 + 61313683456 = 265888^2 + 247616^2 .

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 15 ways as a sum of consecutive naturals, for example, 1624334 + ... + 1703666.

Almost surely, 2132010112000 is an apocalyptic number.

132010112000 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 132010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177337194216).

132010112000 is an abundant number, since it is smaller than the sum of its proper divisors (222664276432).

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

132010112000 is an equidigital number, since it uses as much as digits as its factorization.

132010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79381 (or 79353 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 132010112000 its reverse (211010231), we get a palindrome (132221122231).

The spelling of 132010112000 in words is "one hundred thirty-two billion, ten million, one hundred twelve thousand".