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13211280800 = 255216514101
BaseRepresentation
bin11000100110111010…
…00010010110100000
31021002201100121020022
430103131002112200
5204024041441200
610022535333012
7645250014434
oct142335022640
937081317208
1013211280800
11566a472893
122688521168
1313270a8823
148d48469c4
15524c88885
hex3137425a0

13211280800 has 36 divisors (see below), whose sum is σ = 32252041206. Its totient is φ = 5284512000.

The previous prime is 13211280781. The next prime is 13211280833. The reversal of 13211280800 is 808211231.

It can be written as a sum of positive squares in 3 ways, for example, as 7295209744 + 5916071056 = 85412^2 + 76916^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13211280800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8256251 + ... + 8257850.

Almost surely, 213211280800 is an apocalyptic number.

13211280800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211280800 is an abundant number, since it is smaller than the sum of its proper divisors (19040760406).

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

13211280800 is a wasteful number, since it uses less digits than its factorization.

13211280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514121 (or 16514108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 13211280800 in words is "thirteen billion, two hundred eleven million, two hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16514101 33028202 66056404 82570505 132112808 165141010 264225616 330282020 412852525 528451232 660564040 825705050 1321128080 1651410100 2642256160 3302820200 6605640400 13211280800