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103229704680804 = 22321321302592
BaseRepresentation
bin10111011110001100001001…
…111000001011010101100100
3111112111122220121110121211100
4113132030021320023111210
5102012303413344241204
61003315023250440100
730513046213026312
oct2736141170132544
9445448817417740
10103229704680804
112a98a521110429
12b6b2737293030
13457a69a10aa00
141b6c4b6d1d0b2
15be03951c9a39
hex5de309e0b564

103229704680804 has 81 divisors (see below), whose sum is σ = 282560399339673. Its totient is φ = 31762742210784.

The previous prime is 103229704680749. The next prime is 103229704680901. The reversal of 103229704680804 is 408086407922301.

The square root of 103229704680804 is 10160202.

It is a perfect power (a square), and thus also a powerful number.

103229704680804 is a `hidden beast` number, since 1 + 0 + 32 + 2 + 9 + 70 + 468 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15270666372900 + 87959038307904 = 3907770^2 + 9378648^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 792430627 + ... + 792560885.

Almost surely, 2103229704680804 is an apocalyptic number.

103229704680804 is the 10160202-nd square number.

It is an amenable number.

103229704680804 is an abundant number, since it is smaller than the sum of its proper divisors (179330694658869).

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

103229704680804 is an frugal number, since it uses more digits than its factorization.

103229704680804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260554 (or 130277 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 103229704680804 in words is "one hundred three trillion, two hundred twenty-nine billion, seven hundred four million, six hundred eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 130259 260518 390777 521036 781554 1172331 1563108 1693367 2344662 3386734 4689324 5080101 6773468 10160202 15240303 20320404 22013771 30480606 44027542 60961212 66041313 88055084 132082626 198123939 264165252 396247878 792495756 16967407081 33934814162 50902221243 67869628324 101804442486 152706663729 203608884972 220576292053 305413327458 441152584106 610826654916 661728876159 882305168212 1323457752318 1985186628477 2646915504636 2867491796689 3970373256954 5734983593378 7940746513908 8602475390067 11469967186756 17204950780134 25807426170201 34409901560268 51614852340402 103229704680804