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13200322112 = 261722952981
BaseRepresentation
bin11000100101100110…
…01110111001000000
31021001221201211201222
430102303032321000
5204013240301422
610021504414212
7645054613055
oct142263167100
937057654658
1013200322112
11566426841a
122684917368
131324a3c7b3
148d31d302c
15523d21842
hex312ccee40

13200322112 has 56 divisors (see below), whose sum is σ = 27856875960. Its totient is φ = 6184673280.

The previous prime is 13200322087. The next prime is 13200322139. The reversal of 13200322112 is 21122300231.

It can be written as a sum of positive squares in 4 ways, for example, as 11038444096 + 2161878016 = 105064^2 + 46496^2 .

It is a super-2 number, since 2×132003221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222662 + ... + 275642.

Almost surely, 213200322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928437980).

13200322112 is an abundant number, since it is smaller than the sum of its proper divisors (14656553848).

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

13200322112 is a wasteful number, since it uses less digits than its factorization.

13200322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53239 (or 53229 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13200322112 its reverse (21122300231), we get a palindrome (34322622343).

The spelling of 13200322112 in words is "thirteen billion, two hundred million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 229 272 458 544 916 1088 1832 3664 3893 7328 7786 14656 15572 31144 52981 62288 105962 124576 211924 249152 423848 847696 900677 1695392 1801354 3390784 3602708 7205416 12132649 14410832 24265298 28821664 48530596 57643328 97061192 194122384 206255033 388244768 412510066 776489536 825020132 1650040264 3300080528 6600161056 13200322112