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12332132213100 = 2235275872443911
BaseRepresentation
bin1011001101110100110001…
…0111000010000101101100
31121122221101111102200102020
42303131030113002011230
53104022201321304400
642121145304030140
72411652506154420
oct263351427020554
947587344380366
1012332132213100
113a25034155417
121472072162350
136b5bb856c82b
14308c423dcb80
15165bc14d52a0
hexb374c5c216c

12332132213100 has 72 divisors (see below), whose sum is σ = 40778250524928. Its totient is φ = 2818773076800.

The previous prime is 12332132213017. The next prime is 12332132213101. The reversal of 12332132213100 is 131223123321.

It is a super-2 number, since 2×123321322131002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12332132213101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2936219856 + ... + 2936224055.

It is an arithmetic number, because the mean of its divisors is an integer number (566364590624).

Almost surely, 212332132213100 is an apocalyptic number.

12332132213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332132213100 is an abundant number, since it is smaller than the sum of its proper divisors (28446118311828).

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

12332132213100 is a wasteful number, since it uses less digits than its factorization.

12332132213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872443935 (or 5872443928 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12332132213100 its reverse (131223123321), we get a palindrome (12463355336421).

The spelling of 12332132213100 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5872443911 11744887822 17617331733 23489775644 29362219555 35234663466 41107107377 58724439110 70469326932 82214214754 88086658665 117448878220 123321322131 146811097775 164428429508 176173317330 205535536885 246642644262 293622195550 352346634660 411071073770 440433293325 493285288524 587244391100 616606610655 822142147540 880866586650 1027677684425 1233213221310 1761733173300 2055355368850 2466426442620 3083033053275 4110710737700 6166066106550 12332132213100