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232420230114030 = 23357272603451109
BaseRepresentation
bin110100110110001010001101…
…010000010010101011101110
31010110221011020110021022101000
4310312022031100102223232
5220430433112402122110
62142152214003301130
766645543653366310
oct6466121520225356
91113834213238330
10232420230114030
1168068958797692
122209872097a7a6
139c8c1978475aa
1441572b06c97b0
151bd0bb47b21c0
hexd3628d412aee

232420230114030 has 128 divisors (see below), whose sum is σ = 708332488934400. Its totient is φ = 53124311382912.

The previous prime is 232420230113977. The next prime is 232420230114043. The reversal of 232420230114030 is 30411032024232.

232420230114030 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 20 + 230 + 1 + 1 + 403 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232420230113985 and 232420230114003.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 514994116 + ... + 515445224.

It is an arithmetic number, because the mean of its divisors is an integer number (5533847569800).

Almost surely, 2232420230114030 is an apocalyptic number.

232420230114030 is an abundant number, since it is smaller than the sum of its proper divisors (475912258820370).

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

232420230114030 is a wasteful number, since it uses less digits than its factorization.

232420230114030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723735 (or 723729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 232420230114030 its reverse (30411032024232), we get a palindrome (262831262138262).

The spelling of 232420230114030 in words is "two hundred thirty-two trillion, four hundred twenty billion, two hundred thirty million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 272603 451109 545206 817809 902218 1353327 1363015 1635618 1908221 2255545 2453427 2706654 2726030 3157763 3816442 4059981 4089045 4511090 4906854 5724663 6315526 6766635 7360281 8119962 8178090 9473289 9541105 11449326 12179943 12267135 13533270 14720562 15788815 17173989 18946578 19082210 20299905 24359886 24534270 28419867 28623315 31577630 34347978 36801405 40599810 47366445 51521967 56839734 57246630 60899715 73602810 85259601 85869945 94732890 103043934 121799430 142099335 170519202 171739890 257609835 284198670 426298005 515219670 852596010 122973666727 245947333454 368921000181 614868333635 737842000362 860815667089 1106763000543 1229736667270 1721631334178 1844605000905 2213526001086 2582447001267 3320289001629 3689210001810 4304078335445 5164894002534 5533815002715 6640578003258 7747341003801 8608156670890 11067630005430 12912235006335 15494682007602 16601445008145 23242023011403 25824470012670 33202890016290 38736705019005 46484046022806 77473410038010 116210115057015 232420230114030