Search a number
-
+
12252304534113 = 337292235414073
BaseRepresentation
bin1011001001001011011001…
…0000100110101001100001
31121101022100011120102102000
42302102312100212221201
53101220204430042423
642020344143514213
72403125346116430
oct262226620465141
947338304512360
1012252304534113
1139a419a5466a6
12145a6b3bb8969
136ab506050617
1430502c4bd117
15163a9d204843
hexb24b6426a61

12252304534113 has 32 divisors (see below), whose sum is σ = 21459975110400. Its totient is φ = 6759892153728.

The previous prime is 12252304534097. The next prime is 12252304534117. The reversal of 12252304534113 is 31143540325221.

12252304534113 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 3 + 0 + 4 + 534 + 113 = 666.

It is not a de Polignac number, because 12252304534113 - 24 = 12252304534097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12252304534117) 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 31 ways as a sum of consecutive naturals, for example, 1117701556 + ... + 1117712517.

It is an arithmetic number, because the mean of its divisors is an integer number (670624222200).

Almost surely, 212252304534113 is an apocalyptic number.

It is an amenable number.

12252304534113 is a deficient number, since it is larger than the sum of its proper divisors (9207670576287).

12252304534113 is a wasteful number, since it uses less digits than its factorization.

12252304534113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235414118 (or 2235414112 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12252304534113 its reverse (31143540325221), we get a palindrome (43395844859334).

The spelling of 12252304534113 in words is "twelve trillion, two hundred fifty-two billion, three hundred four million, five hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 2235414073 6706242219 15647898511 20118726657 46943695533 60356179971 64827008117 140831086599 194481024351 422493259797 453789056819 583443073053 1361367170457 1750329219159 4084101511371 12252304534113