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1321132032 = 2133411181
BaseRepresentation
bin100111010111110…
…1110000000000000
310102001221110110000
41032233232000000
510201202211112
6335032240000
744511302613
oct11657560000
93361843400
101321132032
11618821060
1230a540000
1318092673c
14c766217a
157aeb67dc
hex4ebee000

1321132032 has 280 divisors, whose sum is σ = 4329437112. Its totient is φ = 398131200.

The previous prime is 1321131989. The next prime is 1321132037. The reversal of 1321132032 is 2302311231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1321131996 and 1321132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321132037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7298982 + ... + 7299162.

Almost surely, 21321132032 is an apocalyptic number.

1321132032 is a gapful number since it is divisible by the number (12) 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 1321132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164718556).

1321132032 is an abundant number, since it is smaller than the sum of its proper divisors (3008305080).

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

1321132032 is an equidigital number, since it uses as much as digits as its factorization.

1321132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1321132032 is about 36347.3799881092. The cubic root of 1321132032 is about 1097.2748055591.

Adding to 1321132032 its reverse (2302311231), we get a palindrome (3623443263).

The spelling of 1321132032 in words is "one billion, three hundred twenty-one million, one hundred thirty-two thousand, thirty-two".