Search a number
-
+
31321113332301 = 321323291873214283
BaseRepresentation
bin1110001111100100000111…
…10101011000101001001101
311002220021021020111121202200
413013302003311120221031
513101131120003113201
6150340415410512113
76411606246416352
oct707620365305115
9132807236447680
1031321113332301
119a86233a33301
12361a2a9595639
13146275077c510
147a3d42a2a629
15394b02586386
hex1c7c83d58a4d

31321113332301 has 96 divisors (see below), whose sum is σ = 52621499024640. Its totient is φ = 17791179614208.

The previous prime is 31321113332281. The next prime is 31321113332309. The reversal of 31321113332301 is 10323331112313.

31321113332301 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 11 + 13 + 332 + 301 = 666.

It is not a de Polignac number, because 31321113332301 - 29 = 31321113331789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321113332309) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 146059906 + ... + 146274188.

It is an arithmetic number, because the mean of its divisors is an integer number (548140614840).

Almost surely, 231321113332301 is an apocalyptic number.

It is an amenable number.

31321113332301 is a deficient number, since it is larger than the sum of its proper divisors (21300385692339).

31321113332301 is a wasteful number, since it uses less digits than its factorization.

31321113332301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216227 (or 216224 counting only the distinct ones).

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

Adding to 31321113332301 its reverse (10323331112313), we get a palindrome (41644444444614).

The spelling of 31321113332301 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred thirteen million, three hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 13 23 29 39 69 87 117 207 261 299 377 667 897 1131 1873 2001 2691 3393 5619 6003 8671 16857 24349 26013 43079 54317 73047 78039 129237 162951 214283 219141 387711 488853 560027 642849 706121 1249291 1680081 1928547 2118363 2785679 3747873 4928509 5040243 6214207 6355089 8357037 11243619 14785527 16240783 18642621 25071111 44356581 48722349 55927863 64070617 80784691 142926761 146167047 192211851 242354073 401352059 428780283 576635553 727062219 1204056177 1286340849 1858047893 3612168531 5217576767 5574143679 9231097357 11639209711 15652730301 16722431037 27693292071 34917629133 46958190903 83079876213 104752887399 120004265641 151309726243 267701823353 360012796923 453929178729 803105470059 1080038390769 1361787536187 2409316410177 3480123703589 10440371110767 31321113332301