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32113131332031 = 32192167157937483
BaseRepresentation
bin1110100110100111010111…
…10010010010000110111111
311012200222121100002201211200
413103103223302102012333
513202120143110111111
6152144322513150543
76523045221346521
oct723235362220677
9135628540081750
1032113131332031
11a2611144a4062
1237278a685b453
1314bc341b488b9
147d03d8c51a11
153aa509c36256
hex1d34ebc921bf

32113131332031 has 72 divisors (see below), whose sum is σ = 49281126410880. Its totient is φ = 20147223288672.

The previous prime is 32113131331969. The next prime is 32113131332173. The reversal of 32113131332031 is 13023313131123.

32113131332031 is a `hidden beast` number, since 3 + 2 + 11 + 313 + 1 + 332 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 32113131332031 - 214 = 32113131315647 is a prime.

It is a super-2 number, since 2×321131313320312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32113131331986 and 32113131332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113131332231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856719816 + ... + 856757298.

It is an arithmetic number, because the mean of its divisors is an integer number (684460089040).

Almost surely, 232113131332031 is an apocalyptic number.

32113131332031 is a deficient number, since it is larger than the sum of its proper divisors (17167995078849).

32113131332031 is a wasteful number, since it uses less digits than its factorization.

32113131332031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39273 (or 39251 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 32113131332031 its reverse (13023313131123), we get a palindrome (45136444463154).

The spelling of 32113131332031 in words is "thirty-two trillion, one hundred thirteen billion, one hundred thirty-one million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 19 57 167 171 361 501 1083 1503 1579 3173 3249 4737 9519 14211 28557 30001 37483 60287 90003 112449 180861 263693 270009 337347 542583 570019 712177 791079 1710057 2136531 2373237 5010167 5130171 6259661 6409593 13531363 15030501 18778983 40594089 45091503 56336949 59185657 95193173 118933559 121782267 177556971 285579519 356800677 532670913 856738557 1070402031 1124527483 2259737621 3373582449 6779212863 9884004719 10120747347 20337638589 21366022177 29652014157 64098066531 88956042471 187796089661 192294199593 563388268983 1690164806949 3568125703559 10704377110677 32113131332031