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13199155200 = 213335271131
BaseRepresentation
bin11000100101011101…
…10010000000000000
31021001212112120001000
430102232302000000
5204012440431300
610021423412000
7645041653020
oct142256620000
937055476030
1013199155200
115663640730
122684454000
13132472160a
148d2daba80
15523b90c00
hex312bb2000

13199155200 has 1344 divisors, whose sum is σ = 62407434240. Its totient is φ = 2654208000.

The previous prime is 13199155097. The next prime is 13199155243. The reversal of 13199155200 is 255199131.

13199155200 is a `hidden beast` number, since 1 + 3 + 19 + 91 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425779185 + ... + 425779215.

Almost surely, 213199155200 is an apocalyptic number.

13199155200 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 13199155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31203717120).

13199155200 is an abundant number, since it is smaller than the sum of its proper divisors (49208279040).

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

13199155200 is a wasteful number, since it uses less digits than its factorization.

13199155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

It can be divided in two parts, 1319 and 9155200, that added together give a palindrome (9156519).

The spelling of 13199155200 in words is "thirteen billion, one hundred ninety-nine million, one hundred fifty-five thousand, two hundred".