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311320112311 = 131719234178623
BaseRepresentation
bin1001000011111000001…
…11111110110010110111
31002202120102201022112001
410201330013332302313
520100040422043221
6355003554240131
731330542202255
oct4417407766267
91082512638461
10311320112311
111100370a621a
1250404586047
1323485176610
14110d473d5d5
1581713d1391
hex487c1fecb7

311320112311 has 64 divisors (see below), whose sum is σ = 399435079680. Its totient is φ = 239111516160.

The previous prime is 311320112297. The next prime is 311320112333. The reversal of 311320112311 is 113211023113.

It is not a de Polignac number, because 311320112311 - 227 = 311185894583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311320112011) 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 63 ways as a sum of consecutive naturals, for example, 3920346 + ... + 3998968.

It is an arithmetic number, because the mean of its divisors is an integer number (6241173120).

Almost surely, 2311320112311 is an apocalyptic number.

311320112311 is a deficient number, since it is larger than the sum of its proper divisors (88114967369).

311320112311 is a wasteful number, since it uses less digits than its factorization.

311320112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78736.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 311320112311 its reverse (113211023113), we get a palindrome (424531135424).

The spelling of 311320112311 in words is "three hundred eleven billion, three hundred twenty million, one hundred twelve thousand, three hundred eleven".

Divisors: 1 13 17 19 23 41 221 247 299 323 391 437 533 697 779 943 4199 5083 5681 7429 9061 10127 12259 13243 16031 17917 78623 96577 172159 208403 232921 304589 1022099 1336591 1493837 1808329 3223543 3959657 17375683 19419881 23508277 25395229 30741593 34358251 41906059 54800231 61247317 74141489 330137977 399640709 446657263 584090267 712403003 796215121 963839357 1041204389 1260405313 1408688291 7593173471 13535657057 16385269069 18312947783 23947700947 311320112311