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13324002320 = 2451915495659
BaseRepresentation
bin11000110100010110…
…00010010000010000
31021101120110110002102
430122023002100100
5204241421033240
610042043335532
7651116102546
oct143213022020
937346413072
1013324002320
115718063172
1226ba2215a8
131344554855
149057c9d96
1552eb02815
hex31a2c2410

13324002320 has 80 divisors (see below), whose sum is σ = 32635560000. Its totient is φ = 5044944384.

The previous prime is 13324002269. The next prime is 13324002323. The reversal of 13324002320 is 2320042331.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 13324002292 and 13324002301.

It is not an unprimeable number, because it can be changed into a prime (13324002323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351651 + ... + 2357309.

It is an arithmetic number, because the mean of its divisors is an integer number (407944500).

Almost surely, 213324002320 is an apocalyptic number.

13324002320 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 13324002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317780000).

13324002320 is an abundant number, since it is smaller than the sum of its proper divisors (19311557680).

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

13324002320 is a wasteful number, since it uses less digits than its factorization.

13324002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13324002320 its reverse (2320042331), we get a palindrome (15644044651).

The spelling of 13324002320 in words is "thirteen billion, three hundred twenty-four million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1549 3098 5659 6196 7745 11318 12392 15490 22636 24784 28295 29431 30980 45272 56590 58862 61960 90544 107521 113180 117724 123920 147155 215042 226360 235448 294310 430084 452720 470896 537605 588620 860168 1075210 1177240 1720336 2150420 2354480 4300840 8601680 8765791 17531582 35063164 43828955 70126328 87657910 140252656 166550029 175315820 333100058 350631640 666200116 701263280 832750145 1332400232 1665500290 2664800464 3331000580 6662001160 13324002320