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132314132000 = 255355036011
BaseRepresentation
bin111101100111010001…
…0010110111000100000
3110122112012101022221102
41323032202112320200
54131434404211000
6140441223013532
712362603364611
oct1731642267040
9418465338842
10132314132000
1151128972816
122178789a2a8
13c6284571cb
146592975c08
1536960c73d5
hex1ece896e20

132314132000 has 96 divisors (see below), whose sum is σ = 325208991744. Its totient is φ = 52907232000.

The previous prime is 132314131979. The next prime is 132314132039. The reversal of 132314132000 is 231413231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22008995 + ... + 22015005.

It is an arithmetic number, because the mean of its divisors is an integer number (3387593664).

Almost surely, 2132314132000 is an apocalyptic number.

132314132000 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 132314132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162604495872).

132314132000 is an abundant number, since it is smaller than the sum of its proper divisors (192894859744).

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

132314132000 is an equidigital number, since it uses as much as digits as its factorization.

132314132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11539 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132314132000 its reverse (231413231), we get a palindrome (132545545231).

The spelling of 132314132000 in words is "one hundred thirty-two billion, three hundred fourteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5503 6011 11006 12022 22012 24044 27515 30055 44024 48088 55030 60110 88048 96176 110060 120220 137575 150275 176096 192352 220120 240440 275150 300550 440240 480880 550300 601100 687875 751375 880480 961760 1100600 1202200 1375750 1502750 2201200 2404400 2751500 3005500 4402400 4808800 5503000 6011000 11006000 12022000 22012000 24044000 33078533 66157066 132314132 165392665 264628264 330785330 529256528 661570660 826963325 1058513056 1323141320 1653926650 2646282640 3307853300 4134816625 5292565280 6615706600 8269633250 13231413200 16539266500 26462826400 33078533000 66157066000 132314132000