Search a number
-
+
320251132341 = 32731324476637
BaseRepresentation
bin1001010100100000111…
…01000111100110110101
31010121121212000010210200
410222100131013212311
520221333242213331
6403042113111113
732065056465450
oct4522035074665
91117555003720
10320251132341
111138aa462808
1252097558499
132427955445a
141170091a497
1584e54d45e6
hex4a907479b5

320251132341 has 48 divisors (see below), whose sum is σ = 530654252544. Its totient is φ = 182313960192.

The previous prime is 320251132301. The next prime is 320251132361. The reversal of 320251132341 is 143231152023.

320251132341 is a `hidden beast` number, since 3 + 202 + 5 + 113 + 2 + 341 = 666.

It is a de Polignac number, because none of the positive numbers 2k-320251132341 is a prime.

It is a super-2 number, since 2×3202511323412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320251132301) 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 47 ways as a sum of consecutive naturals, for example, 48249075 + ... + 48255711.

It is an arithmetic number, because the mean of its divisors is an integer number (11055296928).

Almost surely, 2320251132341 is an apocalyptic number.

It is an amenable number.

320251132341 is a deficient number, since it is larger than the sum of its proper divisors (210403120203).

320251132341 is a wasteful number, since it uses less digits than its factorization.

320251132341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 320251132341 its reverse (143231152023), we get a palindrome (463482284364).

The spelling of 320251132341 in words is "three hundred twenty billion, two hundred fifty-one million, one hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 313 939 2191 2447 2817 6573 6637 7341 17129 19719 19911 22023 46459 51387 59733 139377 154161 418131 765911 2077381 2297733 5361377 6232143 6893199 14541667 16084131 16240739 18696429 43625001 48252393 48722217 113685173 130875003 146166651 341055519 1023166557 5083351307 15250053921 35583459149 45750161763 106750377447 320251132341