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213313113 = 32131823189
BaseRepresentation
bin11001011011011…
…10011001011001
3112212101102120200
430231232121121
5414102004423
633100012413
75200063056
oct1455563131
9485342520
10213313113
11aa456332
125b531109
1335268ba0
142048a02d
1513ad8d43
hexcb6e659

213313113 has 12 divisors (see below), whose sum is σ = 331820580. Its totient is φ = 131269536.

The previous prime is 213313099. The next prime is 213313123. The reversal of 213313113 is 311313312.

It is a happy number.

213313113 is a `hidden beast` number, since 21 + 331 + 311 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111767184 + 101545929 = 10572^2 + 10077^2 .

It is not a de Polignac number, because 213313113 - 24 = 213313097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213313123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911478 + ... + 911711.

It is an arithmetic number, because the mean of its divisors is an integer number (27651715).

Almost surely, 2213313113 is an apocalyptic number.

It is an amenable number.

213313113 is a deficient number, since it is larger than the sum of its proper divisors (118507467).

213313113 is a wasteful number, since it uses less digits than its factorization.

213313113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823208 (or 1823205 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 213313113 is about 14605.2426546087. The cubic root of 213313113 is about 597.5017540491.

Adding to 213313113 its reverse (311313312), we get a palindrome (524626425).

The spelling of 213313113 in words is "two hundred thirteen million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 1823189 5469567 16408701 23701457 71104371 213313113