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13200195200 = 27528946349
BaseRepresentation
bin11000100101100101…
…01111111010000000
31021001221111101122112
430102302233322000
5204013222221300
610021501554452
7645053544053
oct142262577200
937057441575
1013200195200
115664191035
122684875a28
1313249c6aba
148d319ca9a
15523ce8e35
hex312cafe80

13200195200 has 96 divisors (see below), whose sum is σ = 32975707500. Its totient is φ = 5220638720.

The previous prime is 13200195191. The next prime is 13200195227. The reversal of 13200195200 is 259100231.

It can be written as a sum of positive squares in 6 ways, for example, as 1203812416 + 11996382784 = 34696^2 + 109528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261626 + ... + 307974.

Almost surely, 213200195200 is an apocalyptic number.

13200195200 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 13200195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487853750).

13200195200 is an abundant number, since it is smaller than the sum of its proper divisors (19775512300).

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

13200195200 is an equidigital number, since it uses as much as digits as its factorization.

13200195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46462 (or 46445 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 13200195200 its reverse (259100231), we get a palindrome (13459295431).

The spelling of 13200195200 in words is "thirteen billion, two hundred million, one hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 128 160 178 200 320 356 400 445 640 712 800 890 1424 1600 1780 2225 2848 3200 3560 4450 5696 7120 8900 11392 14240 17800 28480 35600 46349 56960 71200 92698 142400 185396 231745 284800 370792 463490 741584 926980 1158725 1483168 1853960 2317450 2966336 3707920 4125061 4634900 5932672 7415840 8250122 9269800 14831680 16500244 18539600 20625305 29663360 33000488 37079200 41250610 66000976 74158400 82501220 103126525 132001952 148316800 165002440 206253050 264003904 330004880 412506100 528007808 660009760 825012200 1320019520 1650024400 2640039040 3300048800 6600097600 13200195200