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230321331200103 = 311131016221854467
BaseRepresentation
bin110100010111100111011101…
…001000010110000001100111
31010012111111121120200002021220
4310113213131020112001213
5220142041041241400403
62133504054151311423
766341111204111223
oct6427473510260147
91105444546602256
10230321331200103
1167429800aa7aa0
12219b999797b573
139b69292944910
1440c387d11b783
151b962be097953
hexd179dd216067

230321331200103 has 64 divisors (see below), whose sum is σ = 364414168871424. Its totient is φ = 127554684480000.

The previous prime is 230321331200069. The next prime is 230321331200123. The reversal of 230321331200103 is 301002133123032.

230321331200103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230321331200103 - 226 = 230321264091239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230321331200123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269122476 + ... + 269976942.

It is an arithmetic number, because the mean of its divisors is an integer number (5693971388616).

Almost surely, 2230321331200103 is an apocalyptic number.

230321331200103 is a deficient number, since it is larger than the sum of its proper divisors (134092837671321).

230321331200103 is a wasteful number, since it uses less digits than its factorization.

230321331200103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860816.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 230321331200103 its reverse (301002133123032), we get a palindrome (531323464323135).

The spelling of 230321331200103 in words is "two hundred thirty trillion, three hundred twenty-one billion, three hundred thirty-one million, two hundred thousand, one hundred three".

Divisors: 1 3 11 13 33 39 101 143 303 429 1111 1313 3333 3939 6221 14443 18663 43329 68431 80873 205293 242619 628321 854467 889603 1884963 2563401 2668809 6911531 8168173 9399137 11108071 20734593 24504519 28197411 33324213 86301167 89849903 122188781 258903501 269549709 366566343 949312837 1121915171 2847938511 3365745513 5315639207 12341066881 15946917621 37023200643 58472031277 69103309691 175416093831 207309929073 536879559907 760136406601 1610638679721 2280409219803 5905675158977 6979434278791 17717025476931 20938302836373 76773777066701 230321331200103