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5321311200 = 25355231883
BaseRepresentation
bin1001111010010110…
…01100001111100000
3111201211222121200000
410331023030033200
541344223424300
62240010100000
7245603253552
oct47513141740
914654877600
105321311200
112290817957
12104611a600
1366a5ab86a
14386a214d2
15212274c00
hex13d2cc3e0

5321311200 has 432 divisors, whose sum is σ = 20109712896. Its totient is φ = 1371686400.

The previous prime is 5321311139. The next prime is 5321311201. The reversal of 5321311200 is 21131235.

5321311200 is a `hidden beast` number, since 532 + 13 + 1 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5321311201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6025959 + ... + 6026841.

Almost surely, 25321311200 is an apocalyptic number.

5321311200 is a gapful number since it is divisible by the number (50) 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 5321311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054856448).

5321311200 is an abundant number, since it is smaller than the sum of its proper divisors (14788401696).

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

5321311200 is a wasteful number, since it uses less digits than its factorization.

5321311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5321311200 is about 72947.3179767426. The cubic root of 5321311200 is about 1745.8471542257.

Adding to 5321311200 its reverse (21131235), we get a palindrome (5342442435).

The spelling of 5321311200 in words is "five billion, three hundred twenty-one million, three hundred eleven thousand, two hundred".