Search a number
-
+
311210113331 = 13194726807659
BaseRepresentation
bin1001000011101011001…
…00010111100100110011
31002202021202201210021202
410201311210113210303
520044324242111311
6354545024441415
731325035213445
oct4416544274463
91082252653252
10311210113331
1110aa8aaa5377
125039377926b
1323468441870
14110c3ca8495
158166903e3b
hex4875917933

311210113331 has 16 divisors (see below), whose sum is σ = 360294950400. Its totient is φ = 266360889888.

The previous prime is 311210113327. The next prime is 311210113363. The reversal of 311210113331 is 133311012113.

It is a cyclic number.

It is not a de Polignac number, because 311210113331 - 22 = 311210113327 is a prime.

It is a super-3 number, since 3×3112101133313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311210113391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13392221 + ... + 13415438.

It is an arithmetic number, because the mean of its divisors is an integer number (22518434400).

Almost surely, 2311210113331 is an apocalyptic number.

311210113331 is a deficient number, since it is larger than the sum of its proper divisors (49084837069).

311210113331 is a wasteful number, since it uses less digits than its factorization.

311210113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807738.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 311210113331 its reverse (133311012113), we get a palindrome (444521125444).

The spelling of 311210113331 in words is "three hundred eleven billion, two hundred ten million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 13 19 47 247 611 893 11609 26807659 348499567 509345521 1259959973 6621491773 16379479649 23939239487 311210113331