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102021200199 = 32127241736929
BaseRepresentation
bin101111100000011101…
…1111111100101000111
3100202100000212221200100
41133000323333211013
53132414411401244
6114511244215143
710241115615312
oct1370073774507
9322300787610
10102021200199
113a2a3342796
121793283a4b3
13980b49a5a9
144d1b677979
1529c18d8b69
hex17c0eff947

102021200199 has 24 divisors (see below), whose sum is σ = 148589775360. Its totient is φ = 67448844288.

The previous prime is 102021200129. The next prime is 102021200219. The reversal of 102021200199 is 991002120201.

It is not a de Polignac number, because 102021200199 - 224 = 102004422983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021200129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2744167 + ... + 2781095.

It is an arithmetic number, because the mean of its divisors is an integer number (6191240640).

Almost surely, 2102021200199 is an apocalyptic number.

102021200199 is a deficient number, since it is larger than the sum of its proper divisors (46568575161).

102021200199 is a wasteful number, since it uses less digits than its factorization.

102021200199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39479 (or 39476 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 102021200199 in words is "one hundred two billion, twenty-one million, two hundred thousand, one hundred ninety-nine".

Divisors: 1 3 9 127 381 1143 2417 7251 21753 36929 110787 306959 332361 920877 2762631 4689983 14069949 42209847 89257393 267772179 803316537 11335688911 34007066733 102021200199