Search a number
-
+
12305210145543 = 337532934192603
BaseRepresentation
bin1011001100010000011110…
…1011011111101100000111
31121120100220020210221121000
42303010013223133230013
53103102032244124133
642100534022424343
72410010402313510
oct263040753375407
947510806727530
1012305210145543
113a14679370607
1214689b9b920b3
136b34b7a77243
1430780aa85a07
15165147be6413
hexb3107adfb07

12305210145543 has 64 divisors (see below), whose sum is σ = 21299769953280. Its totient is φ = 6875330626944.

The previous prime is 12305210145533. The next prime is 12305210145593. The reversal of 12305210145543 is 34554101250321.

12305210145543 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 2 + 101 + 4 + 5 + 543 = 666.

It is not a de Polignac number, because 12305210145543 - 25 = 12305210145511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12305210145498 and 12305210145507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305210145533) 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, 838680 + ... + 5031282.

It is an arithmetic number, because the mean of its divisors is an integer number (332808905520).

Almost surely, 212305210145543 is an apocalyptic number.

12305210145543 is a deficient number, since it is larger than the sum of its proper divisors (8994559807737).

12305210145543 is a wasteful number, since it uses less digits than its factorization.

12305210145543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192965 (or 4192959 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12305210145543 its reverse (34554101250321), we get a palindrome (46859311395864).

The spelling of 12305210145543 in words is "twelve trillion, three hundred five billion, two hundred ten million, one hundred forty-five thousand, five hundred forty-three".

Divisors: 1 3 7 9 21 27 53 63 159 189 293 371 477 879 1113 1431 2051 2637 3339 6153 7911 10017 15529 18459 46587 55377 108703 139761 326109 419283 978327 2934981 4192603 12577809 29348221 37733427 88044663 113200281 222207959 264133989 666623877 792401967 1228432679 1555455713 1999871631 3685298037 4666367139 5999614893 8599028753 11055894111 13999101417 25797086259 33167682333 41997304251 65106931987 77391258777 195320795961 232173776331 455748523909 585962387883 1367245571727 1757887163649 4101736715181 12305210145543