Search a number
-
+
201442000131 = 326113715117737
BaseRepresentation
bin1011101110011011100…
…0001111110100000011
3201020221211122212210200
42323212320033310003
511300023123001011
6232312521100243
720360630515011
oct2734670176403
9636854585720
10201442000131
1178481837249
123305a627683
1315cc3cb49a8
149a6d8078b1
15538ed63856
hex2ee6e0fd03

201442000131 has 48 divisors (see below), whose sum is σ = 299890264128. Its totient is φ = 130253184000.

The previous prime is 201442000121. The next prime is 201442000183. The reversal of 201442000131 is 131000244102.

It is not a de Polignac number, because 201442000131 - 27 = 201442000003 is a prime.

It is a super-2 number, since 2×2014420001312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201442000121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11348295 + ... + 11366031.

It is an arithmetic number, because the mean of its divisors is an integer number (6247713836).

Almost surely, 2201442000131 is an apocalyptic number.

201442000131 is a deficient number, since it is larger than the sum of its proper divisors (98448263997).

201442000131 is a wasteful number, since it uses less digits than its factorization.

201442000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18092 (or 18089 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201442000131 its reverse (131000244102), we get a palindrome (332442244233).

The spelling of 201442000131 in words is "two hundred one billion, four hundred forty-two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 61 137 151 183 411 453 549 1233 1359 8357 9211 17737 20687 25071 27633 53211 62061 75213 82899 159633 186183 1081957 1261907 2429969 2678287 3245871 3785721 7289907 8034861 9737613 11357163 21869721 24104583 148228109 163375507 366925319 444684327 490126521 1100775957 1334052981 1470379563 3302327871 22382444459 67147333377 201442000131