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13210231200 = 2535215735059
BaseRepresentation
bin11000100110110010…
…00010000110100000
31021002122101021110020
430103121002012200
5204023304344300
610022501033440
7645235053405
oct142331020640
937078337406
1013210231200
115669916251
1226880b5880
131326acbb6a
148d46522ac
15524b2c8a0
hex3136421a0

13210231200 has 144 divisors (see below), whose sum is σ = 43274417760. Its totient is φ = 3500190720.

The previous prime is 13210231193. The next prime is 13210231207. The reversal of 13210231200 is 213201231.

It is an interprime number because it is at equal distance from previous prime (13210231193) and next prime (13210231207).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13210231200.

It is not an unprimeable number, because it can be changed into a prime (13210231207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359271 + ... + 394329.

It is an arithmetic number, because the mean of its divisors is an integer number (300516790).

Almost surely, 213210231200 is an apocalyptic number.

13210231200 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 13210231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637208880).

13210231200 is an abundant number, since it is smaller than the sum of its proper divisors (30064186560).

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

13210231200 is a wasteful number, since it uses less digits than its factorization.

13210231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35239 (or 35226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13210231200 its reverse (213201231), we get a palindrome (13423432431).

The spelling of 13210231200 in words is "thirteen billion, two hundred ten million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 157 160 200 240 300 314 400 471 480 600 628 785 800 942 1200 1256 1570 1884 2355 2400 2512 3140 3768 3925 4710 5024 6280 7536 7850 9420 11775 12560 15072 15700 18840 23550 25120 31400 35059 37680 47100 62800 70118 75360 94200 105177 125600 140236 175295 188400 210354 280472 350590 376800 420708 525885 560944 701180 841416 876475 1051770 1121888 1402360 1682832 1752950 2103540 2629425 2804720 3365664 3505900 4207080 5258850 5504263 5609440 7011800 8414160 10517700 11008526 14023600 16512789 16828320 21035400 22017052 27521315 28047200 33025578 42070800 44034104 55042630 66051156 82563945 84141600 88068208 110085260 132102312 137606575 165127890 176136416 220170520 264204624 275213150 330255780 412819725 440341040 528409248 550426300 660511560 825639450 880682080 1100852600 1321023120 1651278900 2201705200 2642046240 3302557800 4403410400 6605115600 13210231200