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1321353216 = 2143329103
BaseRepresentation
bin100111011000010…
…0100000000000000
310102002100200212000
41032300210000000
510201231300331
6335041104000
744513213511
oct11660440000
93362320760
101321353216
11618962257
1230a628000
131809a3311
14c76bca08
157b00c0e6
hex4ec24000

1321353216 has 240 divisors, whose sum is σ = 4089321600. Its totient is φ = 421134336.

The previous prime is 1321353211. The next prime is 1321353221. The reversal of 1321353216 is 6123531231.

It is an interprime number because it is at equal distance from previous prime (1321353211) and next prime (1321353221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1321353216.

It is not an unprimeable number, because it can be changed into a prime (1321353211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12828621 + ... + 12828723.

It is an arithmetic number, because the mean of its divisors is an integer number (17038840).

Almost surely, 21321353216 is an apocalyptic number.

1321353216 is a gapful number since it is divisible by the number (16) 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 1321353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044660800).

1321353216 is an abundant number, since it is smaller than the sum of its proper divisors (2767968384).

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

1321353216 is an equidigital number, since it uses as much as digits as its factorization.

1321353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 1321353216 is about 36350.4225009834. The cubic root of 1321353216 is about 1097.3360374122.

Adding to 1321353216 its reverse (6123531231), we get a palindrome (7444884447).

The spelling of 1321353216 in words is "one billion, three hundred twenty-one million, three hundred fifty-three thousand, two hundred sixteen".