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23430404205 = 3251325979661
BaseRepresentation
bin10101110100100011…
…111001100001101101
32020110220102212011100
4111310203321201231
5340441140413310
614432550513313
71456425102225
oct256443714155
966426385140
1023430404205
119a3394151a
12465a965839
1322952b7700
1411c3b29085
15921ecbec0
hex5748f986d

23430404205 has 144 divisors (see below), whose sum is σ = 45357062400. Its totient is φ = 11178984960.

The previous prime is 23430404189. The next prime is 23430404209. The reversal of 23430404205 is 50240403432.

23430404205 is a `hidden beast` number, since 23 + 4 + 30 + 404 + 205 = 666.

It is not a de Polignac number, because 23430404205 - 24 = 23430404189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430404209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35446575 + ... + 35447235.

It is an arithmetic number, because the mean of its divisors is an integer number (314979600).

Almost surely, 223430404205 is an apocalyptic number.

It is an amenable number.

23430404205 is a deficient number, since it is larger than the sum of its proper divisors (21926658195).

23430404205 is a wasteful number, since it uses less digits than its factorization.

23430404205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23430404205 its reverse (50240403432), we get a palindrome (73670807637).

The spelling of 23430404205 in words is "twenty-three billion, four hundred thirty million, four hundred four thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 59 65 79 117 169 177 195 237 295 395 507 531 585 661 711 767 845 885 1027 1185 1521 1983 2301 2535 2655 3081 3305 3555 3835 4661 5135 5949 6903 7605 8593 9243 9915 9971 11505 13351 13983 15405 23305 25779 29745 29913 34515 38999 40053 41949 42965 46215 49855 52219 60593 66755 69915 77337 89739 111709 116997 120159 128895 149565 156657 181779 194995 200265 209745 261095 302965 335127 350991 386685 448695 469971 506987 545337 558545 584985 600795 678847 783285 787709 908895 1005381 1520961 1675635 1754955 2036541 2349855 2363127 2534935 2726685 3080921 3394235 3938545 4562883 5026905 6109623 6590831 7089381 7604805 8825011 9242763 10182705 11815635 15404605 19772493 22814415 26475033 27728289 30548115 32954155 35446905 40051973 44125055 46213815 59317479 79425099 98862465 120155919 132375165 138641445 200259865 296587395 360467757 397125495 520675649 600779595 1562026947 1802338785 2603378245 4686080841 7810134735 23430404205