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13163324200 = 2352136182997
BaseRepresentation
bin11000100001001100…
…00110001100101000
31020222101010011010221
430100212012030220
5203424302333300
610014103415424
7644125260325
oct142046061450
936871104127
1013163324200
115645398334
122674454574
13131a187540
148cc321b4c
1552096431a
hex310986328

13163324200 has 96 divisors (see below), whose sum is σ = 33499652760. Its totient is φ = 4780569600.

The previous prime is 13163324177. The next prime is 13163324227. The reversal of 13163324200 is 242336131.

It can be written as a sum of positive squares in 12 ways, for example, as 367642276 + 12795681924 = 19174^2 + 113118^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117102 + ... + 200098.

Almost surely, 213163324200 is an apocalyptic number.

13163324200 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 13163324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749826380).

13163324200 is an abundant number, since it is smaller than the sum of its proper divisors (20336328560).

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

13163324200 is a wasteful number, since it uses less digits than its factorization.

13163324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83087 (or 83078 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The spelling of 13163324200 in words is "thirteen billion, one hundred sixty-three million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 61 65 100 104 122 130 200 244 260 305 325 488 520 610 650 793 1220 1300 1525 1586 2440 2600 3050 3172 3965 6100 6344 7930 12200 15860 19825 31720 39650 79300 82997 158600 165994 331988 414985 663976 829970 1078961 1659940 2074925 2157922 3319880 4149850 4315844 5062817 5394805 8299700 8631688 10125634 10789610 16599400 20251268 21579220 25314085 26974025 40502536 43158440 50628170 53948050 65816621 101256340 107896100 126570425 131633242 202512680 215792200 253140850 263266484 329083105 506281700 526532968 658166210 1012563400 1316332420 1645415525 2632664840 3290831050 6581662100 13163324200