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13321032000 = 26353555043
BaseRepresentation
bin11000110011111111…
…01101000101000000
31021101100212112120120
430121333231011000
5204240141011000
610041455540240
7651051621663
oct143177550500
937340775516
1013321032000
115716414561
1226b922a680
131343a54873
149052556da
1552e7176a0
hex319fed140

13321032000 has 112 divisors (see below), whose sum is σ = 43986126912. Its totient is φ = 3552268800.

The previous prime is 13321031987. The next prime is 13321032001. The reversal of 13321032000 is 23012331.

13321032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321032001) 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 15 ways as a sum of consecutive naturals, for example, 253522 + ... + 301521.

It is an arithmetic number, because the mean of its divisors is an integer number (392733276).

Almost surely, 213321032000 is an apocalyptic number.

13321032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321032000 is an abundant number, since it is smaller than the sum of its proper divisors (30665094912).

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

13321032000 is an equidigital number, since it uses as much as digits as its factorization.

13321032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555073 (or 555053 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13321032000 its reverse (23012331), we get a palindrome (13344044331).

The spelling of 13321032000 in words is "thirteen billion, three hundred twenty-one million, thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 555043 1110086 1665129 2220172 2775215 3330258 4440344 5550430 6660516 8325645 8880688 11100860 13321032 13876075 16651290 17761376 22201720 26642064 27752150 33302580 35522752 41628225 44403440 53284128 55504300 66605160 69380375 83256450 88806880 106568256 111008600 133210320 138760750 166512900 177613760 208141125 222017200 266420640 277521500 333025800 416282250 444034400 532841280 555043000 666051600 832564500 888068800 1110086000 1332103200 1665129000 2220172000 2664206400 3330258000 4440344000 6660516000 13321032000