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1321430000 = 24541141293
BaseRepresentation
bin100111011000011…
…0110101111110000
310102002111121011212
41032300312233300
510201241230000
6335042455252
744513653412
oct11660665760
93362447155
101321430000
11618a04a10
1230a664528
131809cc257
14c76dc9b2
157b024c35
hex4ec36bf0

1321430000 has 200 divisors, whose sum is σ = 3587489136. Its totient is φ = 467200000.

The previous prime is 1321429987. The next prime is 1321430003. The reversal of 1321430000 is 341231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321430003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4509854 + ... + 4510146.

Almost surely, 21321430000 is an apocalyptic number.

1321430000 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 1321430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793744568).

1321430000 is an abundant number, since it is smaller than the sum of its proper divisors (2266059136).

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

1321430000 is a wasteful number, since it uses less digits than its factorization.

1321430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1321430000 is about 36351.4786494305. The cubic root of 1321430000 is about 1097.3572924451.

Adding to 1321430000 its reverse (341231), we get a palindrome (1321771231).

The spelling of 1321430000 in words is "one billion, three hundred twenty-one million, four hundred thirty thousand".