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1973313000 = 233253435099
BaseRepresentation
bin111010110011110…
…0101110111101000
312002112010200112200
41311213211313220
513020132004000
6523450540200
766620612061
oct16547456750
95075120480
101973313000
1192297a29a
12470a37660
13255a92339
1414a10d568
15b8390500
hex759e5de8

1973313000 has 192 divisors, whose sum is σ = 6826248000. Its totient is φ = 513878400.

The previous prime is 1973312993. The next prime is 1973313019. The reversal of 1973313000 is 3133791.

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 47 ways as a sum of consecutive naturals, for example, 384451 + ... + 389549.

It is an arithmetic number, because the mean of its divisors is an integer number (35553375).

Almost surely, 21973313000 is an apocalyptic number.

1973313000 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 1973313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413124000).

1973313000 is an abundant number, since it is smaller than the sum of its proper divisors (4852935000).

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

1973313000 is a wasteful number, since it uses less digits than its factorization.

1973313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 1973313000 is about 44421.9877988367. The cubic root of 1973313000 is about 1254.2920193222.

Adding to 1973313000 its reverse (3133791), we get a palindrome (1976446791).

The spelling of 1973313000 in words is "one billion, nine hundred seventy-three million, three hundred thirteen thousand".