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13243443200 = 2115213101197
BaseRepresentation
bin11000101010101111…
…01110100000000000
31021011221212121202022
430111113232200000
5204110310140300
610030044541012
7646120260401
oct142527564000
937157777668
1013243443200
11568663a989
122697251768
131330959b30
148d8c199a8
155279dd285
hex3155ee800

13243443200 has 288 divisors, whose sum is σ = 35892937080. Its totient is φ = 4816896000.

The previous prime is 13243443167. The next prime is 13243443223. The reversal of 13243443200 is 234434231.

It can be written as a sum of positive squares in 12 ways, for example, as 5105959936 + 8137483264 = 71456^2 + 90208^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13243443200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67225502 + ... + 67225698.

Almost surely, 213243443200 is an apocalyptic number.

13243443200 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 13243443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946468540).

13243443200 is an abundant number, since it is smaller than the sum of its proper divisors (22649493880).

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

13243443200 is a wasteful number, since it uses less digits than its factorization.

13243443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13243443200 its reverse (234434231), we get a palindrome (13477877431).

The spelling of 13243443200 in words is "thirteen billion, two hundred forty-three million, four hundred forty-three thousand, two hundred".