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311212212113 = 1122572001753
BaseRepresentation
bin1001000011101011011…
…00010111111110010001
31002202021220200102021102
410201311230113332101
520044330311241423
6354545141434145
731325062104365
oct4416554277621
91082256612242
10311212212113
1110aa911a9200
125039440b955
13234689c7c4a
14110c42932a5
158166bbac28
hex4875b17f91

311212212113 has 6 divisors (see below), whose sum is σ = 342076233282. Its totient is φ = 282920192720.

The previous prime is 311212212083. The next prime is 311212212187.

311212212113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 290485427089 + 20726785024 = 538967^2 + 143968^2 .

It is not a de Polignac number, because 311212212113 - 214 = 311212195729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311212212013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1286000756 + ... + 1286000997.

It is an arithmetic number, because the mean of its divisors is an integer number (57012705547).

Almost surely, 2311212212113 is an apocalyptic number.

It is an amenable number.

311212212113 is a deficient number, since it is larger than the sum of its proper divisors (30864021169).

311212212113 is a wasteful number, since it uses less digits than its factorization.

311212212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572001775 (or 2572001764 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 311212 and 212113, that added together give a palindrome (523325).

The spelling of 311212212113 in words is "three hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 11 121 2572001753 28292019283 311212212113