Search a number
-
+
201132230321 = 111929791014159
BaseRepresentation
bin1011101101010001101…
…0100100011010110001
3201020011020202221111202
42323110122210122301
511243404322332241
6232222053420545
720350146515021
oct2732432443261
9636136687452
10201132230321
117833299a640
1232b9293a755
1315c74a76049
149a4060da81
155372a74d9b
hex2ed46a46b1

201132230321 has 64 divisors (see below), whose sum is σ = 244408320000. Its totient is φ = 163459296000.

The previous prime is 201132230287. The next prime is 201132230333. The reversal of 201132230321 is 123032231102.

201132230321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201132230321 - 214 = 201132213937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201132230293 and 201132230302.

It is not an unprimeable number, because it can be changed into a prime (201132230381) 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 63 ways as a sum of consecutive naturals, for example, 48358640 + ... + 48362798.

It is an arithmetic number, because the mean of its divisors is an integer number (3818880000).

Almost surely, 2201132230321 is an apocalyptic number.

It is an amenable number.

201132230321 is a deficient number, since it is larger than the sum of its proper divisors (43276089679).

201132230321 is a wasteful number, since it uses less digits than its factorization.

201132230321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201132230321 its reverse (123032231102), we get a palindrome (324164461423).

The spelling of 201132230321 in words is "two hundred one billion, one hundred thirty-two million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 11 19 29 79 101 209 319 551 869 1111 1501 1919 2291 2929 4159 6061 7979 16511 21109 25201 32219 43529 45749 55651 79021 87769 120611 151601 231391 328561 420059 478819 612161 869231 1326721 1667611 2291609 2545301 3614171 4396429 4620649 6242659 7981121 9528269 12181711 25207699 33184661 48360719 68669249 87792331 104810959 133998821 181037111 231452509 365031271 630508559 962355169 1991408221 2545977599 6935594149 10585906859 18284748211 201132230321