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213113343311312 = 2413319583956957
BaseRepresentation
bin110000011101001101010001…
…000111111111110111010000
31000221120102210022120101010212
4300131031101013333313100
5210413122111341430222
62033130530210343252
762613634213331033
oct6035152107776720
91027512708511125
10213113343311312
11619a495249a454
121ba9a96358ab28
1391bb66acac2c2
143a8aa52c8101a
1519988790c96e2
hexc1d3511ffdd0

213113343311312 has 10 divisors (see below), whose sum is σ = 412907102665698. Its totient is φ = 106556671655648.

The previous prime is 213113343311311. The next prime is 213113343311317.

213113343311312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 108232312882576 + 104881030428736 = 10403476^2 + 10241144^2 .

It is a super-2 number, since 2×2131133433113122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113343311311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6659791978463 + ... + 6659791978494.

Almost surely, 2213113343311312 is an apocalyptic number.

It is an amenable number.

213113343311312 is a deficient number, since it is larger than the sum of its proper divisors (199793759354386).

213113343311312 is a wasteful number, since it uses less digits than its factorization.

213113343311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319583956965 (or 13319583956959 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The spelling of 213113343311312 in words is "two hundred thirteen trillion, one hundred thirteen billion, three hundred forty-three million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 13319583956957 26639167913914 53278335827828 106556671655656 213113343311312