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31113301311 = 352931731951
BaseRepresentation
bin11100111110011111…
…110100110100111111
32222022100011110200000
4130332133310310333
51002210001120221
622143202005343
72151005461161
oct347637646477
988270143600
1031113301311
1112216713864
126043946853
132c1ac22181
14171224a931
15c2173ae26
hex73e7f4d3f

31113301311 has 96 divisors (see below), whose sum is σ = 50475909120. Its totient is φ = 19105632000.

The previous prime is 31113301301. The next prime is 31113301333. The reversal of 31113301311 is 11310331113.

31113301311 is a `hidden beast` number, since 311 + 1 + 330 + 13 + 11 = 666.

It is not a de Polignac number, because 31113301311 - 217 = 31113170239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113301301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15946386 + ... + 15948336.

It is an arithmetic number, because the mean of its divisors is an integer number (525790720).

Almost surely, 231113301311 is an apocalyptic number.

31113301311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31113301311 is a deficient number, since it is larger than the sum of its proper divisors (19362607809).

31113301311 is a wasteful number, since it uses less digits than its factorization.

31113301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31113301311 its reverse (11310331113), we get a palindrome (42423632424).

The spelling of 31113301311 in words is "thirty-one billion, one hundred thirteen million, three hundred one thousand, three hundred eleven".

Divisors: 1 3 9 27 29 31 73 81 87 93 219 243 261 279 657 783 837 899 1951 1971 2117 2263 2349 2511 2697 5853 5913 6351 6789 7047 7533 8091 17559 17739 19053 20367 24273 52677 56579 57159 60481 61101 65627 72819 142423 158031 169737 171477 181443 183303 196881 218457 427269 474093 509211 514431 544329 549909 590643 1281807 1527633 1632987 1753949 1771929 3845421 4130267 4415113 4582899 4898961 5261847 5315787 11536263 12390801 13245339 13748697 14696883 15785541 15947361 34608789 37172403 39736017 47356623 111517209 119208051 128038277 142069869 334551627 357624153 384114831 426209607 1003654881 1072872459 1152344493 3457033479 10371100437 31113301311