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1321013230320 = 2435722345710687
BaseRepresentation
bin10011001110010010100…
…001100011101011110000
311200021202200110011011210
4103032102201203223300
5133120413341332240
62450510510040120
7164303640121500
oct23162241435360
94607680404153
101321013230320
1146a269591143
121940307a9040
1397756692234
1447d1a263a00
1524568ad7780
hex13392863af0

1321013230320 has 480 divisors, whose sum is σ = 4982197690368. Its totient is φ = 288158846976.

The previous prime is 1321013230301. The next prime is 1321013230331. The reversal of 1321013230320 is 230323101231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123604017 + ... + 123614703.

Almost surely, 21321013230320 is an apocalyptic number.

1321013230320 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 1321013230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491098845184).

1321013230320 is an abundant number, since it is smaller than the sum of its proper divisors (3661184460048).

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

1321013230320 is a wasteful number, since it uses less digits than its factorization.

1321013230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1321013230320 its reverse (230323101231), we get a palindrome (1551336331551).

The spelling of 1321013230320 in words is "one trillion, three hundred twenty-one billion, thirteen million, two hundred thirty thousand, three hundred twenty".