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13210120 = 2357114289
BaseRepresentation
bin110010011001…
…001000001000
3220212010212201
4302121020020
511340210440
61151045544
7220166320
oct62311010
926763781
1013210120
117502a60
1245108b4
132976a51
141a7c280
15125e19a
hexc99208

13210120 has 64 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 4116480.

The previous prime is 13210117. The next prime is 13210121. The reversal of 13210120 is 2101231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13210097 and 13210106.

It is not an unprimeable number, because it can be changed into a prime (13210121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936 + ... + 5224.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 213210120 is an apocalyptic number.

13210120 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 13210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

13210120 is an abundant number, since it is smaller than the sum of its proper divisors (23855480).

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

13210120 is a wasteful number, since it uses less digits than its factorization.

13210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13210120 is about 3634.5728772443. The cubic root of 13210120 is about 236.3935309149.

Adding to 13210120 its reverse (2101231), we get a palindrome (15311351).

Subtracting from 13210120 its reverse (2101231), we obtain a square (11108889 = 33332).

The spelling of 13210120 in words is "thirteen million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4289 8578 17156 21445 30023 34312 42890 47179 60046 85780 94358 120092 150115 171560 188716 235895 240184 300230 330253 377432 471790 600460 660506 943580 1200920 1321012 1651265 1887160 2642024 3302530 6605060 13210120