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10204233102 = 23271712973673
BaseRepresentation
bin10011000000011100…
…00011110110001110
3222100011001202021100
421200032003312032
5131344240424402
64404320043530
7510604356510
oct114016036616
928304052240
1010204233102
1143670293a8
121b894635a6
13c680c746b
146cb327bb0
153eaca171c
hex260383d8e

10204233102 has 96 divisors (see below), whose sum is σ = 26781872832. Its totient is φ = 2741133312.

The previous prime is 10204233097. The next prime is 10204233113. The reversal of 10204233102 is 20133240201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2776338 + ... + 2780010.

It is an arithmetic number, because the mean of its divisors is an integer number (278977842).

Almost surely, 210204233102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204233102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390936416).

10204233102 is an abundant number, since it is smaller than the sum of its proper divisors (16577639730).

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

10204233102 is a wasteful number, since it uses less digits than its factorization.

10204233102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10204233102 its reverse (20133240201), we get a palindrome (30337473303).

The spelling of 10204233102 in words is "ten billion, two hundred four million, two hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1297 2142 2594 3673 3891 7346 7782 9079 11019 11673 18158 22038 22049 23346 25711 27237 33057 44098 51422 54474 62441 66114 66147 77133 81711 124882 132294 154266 154343 163422 187323 198441 231399 308686 374646 396882 437087 462798 463029 561969 874174 926058 1123938 1311261 1389087 2622522 2778174 3933783 4763881 7867566 9527762 14291643 28583286 33347167 42874929 66694334 80985977 85749858 100041501 161971954 200083002 242957931 300124503 485915862 566901839 600249006 728873793 1133803678 1457747586 1700705517 3401411034 5102116551 10204233102