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13327057200 = 2435211105881
BaseRepresentation
bin11000110100101101…
…01100000100110000
31021101210012122121010
430122112230010300
5204243211312300
610042233030520
7651154055112
oct143226540460
937353178533
1013327057200
11571985a366
1226bb255440
131345084182
14905d833b2
15530007a50
hex31a5ac130

13327057200 has 60 divisors (see below), whose sum is σ = 42691010408. Its totient is φ = 3553881600.

The previous prime is 13327057193. The next prime is 13327057217. The reversal of 13327057200 is 275072331.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×133270572002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5551741 + ... + 5554140.

Almost surely, 213327057200 is an apocalyptic number.

13327057200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13327057200 is an abundant number, since it is smaller than the sum of its proper divisors (29363953208).

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

13327057200 is a wasteful number, since it uses less digits than its factorization.

13327057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11105902 (or 11105891 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 13327057200 in words is "thirteen billion, three hundred twenty-seven million, fifty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11105881 22211762 33317643 44423524 55529405 66635286 88847048 111058810 133270572 166588215 177694096 222117620 266541144 277647025 333176430 444235240 533082288 555294050 666352860 832941075 888470480 1110588100 1332705720 1665882150 2221176200 2665411440 3331764300 4442352400 6663528600 13327057200