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102003323193 = 33101283132173
BaseRepresentation
bin101111011111111011…
…1110011000100111001
3100202021210020201001000
41132333313303010321
53132400322320233
6114505405115213
710240510640622
oct1367767630471
9322253221030
10102003323193
113a294242502
1217928858b09
13980787b595
144d19142a49
1529c0056d13
hex17bfdf3139

102003323193 has 32 divisors (see below), whose sum is σ = 153152657280. Its totient is φ = 67090507200.

The previous prime is 102003323179. The next prime is 102003323203. The reversal of 102003323193 is 391323300201.

102003323193 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 332 + 319 + 3 = 666.

It is not a de Polignac number, because 102003323193 - 25 = 102003323161 is a prime.

It is a super-2 number, since 2×1020033231932 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102003323113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705655 + ... + 837827.

It is an arithmetic number, because the mean of its divisors is an integer number (4786020540).

Almost surely, 2102003323193 is an apocalyptic number.

It is an amenable number.

102003323193 is a deficient number, since it is larger than the sum of its proper divisors (51149334087).

102003323193 is a wasteful number, since it uses less digits than its factorization.

102003323193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132566 (or 132560 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 102003323193 its reverse (391323300201), we get a palindrome (493326623394).

The spelling of 102003323193 in words is "one hundred two billion, three million, three hundred twenty-three thousand, one hundred ninety-three".

Divisors: 1 3 9 27 101 283 303 849 909 2547 2727 7641 28583 85749 132173 257247 396519 771741 1189557 3568671 13349473 37404959 40048419 112214877 120145257 336644631 360435771 1009933893 3777900859 11333702577 34001107731 102003323193