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1332131203300 = 225231613701011
BaseRepresentation
bin10011011000101001001…
…101010000100011100100
311201100110111212200220211
4103120221031100203210
5133311201042001200
62455550030505204
7165146311254052
oct23305115204344
94640414780824
101332131203300
11473a54376867
12196214065204
1398808b83c81
1448692a831d2
15249b9bcbaba
hex136293508e4

1332131203300 has 72 divisors (see below), whose sum is σ = 2988845979392. Its totient is φ = 514821744000.

The previous prime is 1332131203201. The next prime is 1332131203301. The reversal of 1332131203300 is 33021312331.

It is not an unprimeable number, because it can be changed into a prime (1332131203301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1549795 + ... + 2250805.

Almost surely, 21332131203300 is an apocalyptic number.

1332131203300 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 1332131203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494422989696).

1332131203300 is an abundant number, since it is smaller than the sum of its proper divisors (1656714776092).

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

1332131203300 is a wasteful number, since it uses less digits than its factorization.

1332131203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701669 (or 701662 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1332131203300 its reverse (33021312331), we get a palindrome (1365152515631).

The spelling of 1332131203300 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 613 620 775 1226 1550 2452 3065 3100 6130 12260 15325 19003 30650 38006 61300 76012 95015 190030 380060 475075 701011 950150 1402022 1900300 2804044 3505055 7010110 14020220 17525275 21731341 35050550 43462682 70101100 86925364 108656705 217313410 429719743 434626820 543283525 859439486 1086567050 1718878972 2148598715 2173134100 4297197430 8594394860 10742993575 13321312033 21485987150 26642624066 42971974300 53285248132 66606560165 133213120330 266426240660 333032800825 666065601650 1332131203300