Search a number
-
+
331034230134535 = 52329437331621739
BaseRepresentation
bin100101101000100101110100…
…1101100100001011100000111
31121102002120012200002202212211
41023101023221230201130013
5321342131100403301120
63132015005332324251
7126504301551234034
oct11321135154413407
91542076180082784
10331034230134535
1196528912959154
1231164799a73687
13112935176a1975
145ba61dc3b238b
152840e6005b25a
hex12d12e9b21707

331034230134535 has 64 divisors (see below), whose sum is σ = 444788865100800. Its totient is φ = 235617870394368.

The previous prime is 331034230134499. The next prime is 331034230134563. The reversal of 331034230134535 is 535431032430133.

It is a cyclic number.

It is not a de Polignac number, because 331034230134535 - 27 = 331034230134407 is a prime.

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, 5342305 + ... + 26279434.

It is an arithmetic number, because the mean of its divisors is an integer number (6949826017200).

Almost surely, 2331034230134535 is an apocalyptic number.

331034230134535 is a deficient number, since it is larger than the sum of its proper divisors (113754634966265).

331034230134535 is a wasteful number, since it uses less digits than its factorization.

331034230134535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31621912.

The product of its (nonzero) digits is 583200, while the sum is 40.

Adding to 331034230134535 its reverse (535431032430133), we get a palindrome (866465262564668).

The spelling of 331034230134535 in words is "three hundred thirty-one trillion, thirty-four billion, two hundred thirty million, one hundred thirty-four thousand, five hundred thirty-five".

Divisors: 1 5 23 29 43 73 115 145 215 365 667 989 1247 1679 2117 3139 3335 4945 6235 8395 10585 15695 28681 48691 72197 91031 143405 243455 360985 455155 2093713 10468565 31621739 158108695 727299997 917030431 1359734777 2308386947 3636499985 4585152155 6798673885 11541934735 21091699913 31273899871 39432308533 53092899781 66943221463 99260638721 105458499565 156369499355 197161542665 265464498905 334716107315 496303193605 906943096259 1539694093649 2282994690583 2878558522909 4534715481295 7698470468245 11414973452915 14392792614545 66206846026907 331034230134535