Search a number
-
+
320521114134 = 232136175729663
BaseRepresentation
bin1001010101000001000…
…11000001001000010110
31010122022200000122012100
410222200203001020112
520222411401123014
6403124555502530
732104545342414
oct4524043011026
91118280018170
10320521114134
11113a288a4061
1252151a57a46
13242c0471bb0
14117287182b4
15850e064009
hex4aa08c1216

320521114134 has 96 divisors (see below), whose sum is σ = 761172781824. Its totient is φ = 96873719040.

The previous prime is 320521114129. The next prime is 320521114139. The reversal of 320521114134 is 431411125023.

320521114134 is a `hidden beast` number, since 3 + 2 + 0 + 521 + 1 + 1 + 4 + 134 = 666.

It is an interprime number because it is at equal distance from previous prime (320521114129) and next prime (320521114139).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320521114098 and 320521114107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320521114139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10790587 + ... + 10820249.

It is an arithmetic number, because the mean of its divisors is an integer number (7928883144).

Almost surely, 2320521114134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320521114134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380586390912).

320521114134 is an abundant number, since it is smaller than the sum of its proper divisors (440651667690).

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

320521114134 is a wasteful number, since it uses less digits than its factorization.

320521114134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30502 (or 30499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 320521114134 its reverse (431411125023), we get a palindrome (751932239157).

The spelling of 320521114134 in words is "three hundred twenty billion, five hundred twenty-one million, one hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 757 793 1098 1514 1586 2271 2379 4542 4758 6813 7137 9841 13626 14274 19682 29523 29663 46177 59046 59326 88569 88989 92354 138531 177138 177978 266967 277062 385619 415593 533934 600301 771238 831186 1156857 1200602 1800903 1809443 2313714 3470571 3601806 3618886 5402709 5428329 6941142 10805418 10856658 16284987 22454891 23522759 32569974 44909782 47045518 67364673 70568277 134729346 141136554 202094019 211704831 291913583 404188038 423409662 583827166 875740749 1369748351 1751481498 2627222247 2739496702 4109245053 5254444494 8218490106 12327735159 17806728563 24655470318 35613457126 53420185689 106840371378 160260557067 320521114134