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820193143 = 71134730697
BaseRepresentation
bin110000111000110…
…010011101110111
32010011100010110211
4300320302131313
53134432140033
6213215330251
726216345440
oct6070623567
92104303424
10820193143
11390a83280
121aa820987
13100c031b3
147ad042c7
154c0152cd
hex30e32777

820193143 has 16 divisors (see below), whose sum is σ = 1025558784. Its totient is φ = 637248960.

The previous prime is 820193123. The next prime is 820193177. The reversal of 820193143 is 341391028.

It is a cyclic number.

It is not a de Polignac number, because 820193143 - 221 = 818095991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820193113) 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 15 ways as a sum of consecutive naturals, for example, 11371 + ... + 42067.

It is an arithmetic number, because the mean of its divisors is an integer number (64097424).

Almost surely, 2820193143 is an apocalyptic number.

820193143 is a deficient number, since it is larger than the sum of its proper divisors (205365641).

820193143 is a wasteful number, since it uses less digits than its factorization.

820193143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31062.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 820193143 is about 28639.0143510561. The cubic root of 820193143 is about 936.0636443288.

The spelling of 820193143 in words is "eight hundred twenty million, one hundred ninety-three thousand, one hundred forty-three".

Divisors: 1 7 11 77 347 2429 3817 26719 30697 214879 337667 2363669 10651859 74563013 117170449 820193143