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213232200212331 = 3365340163301127
BaseRepresentation
bin110000011110111011111101…
…100011000101111101101011
31000221222210120122210112122000
4300132323331203011331223
5210422044021223243311
62033301304230302043
762625342462324246
oct6036737543057553
91027883518715560
10213232200212331
1161a402a5082373
121bab99b44b7923
1391c9930405731
143a926ca46a25d
15199b9d3a34056
hexc1eefd8c5f6b

213232200212331 has 32 divisors (see below), whose sum is σ = 316392250590720. Its totient is φ = 141933099827232.

The previous prime is 213232200212309. The next prime is 213232200212351. The reversal of 213232200212331 is 133212002232312.

213232200212331 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 322 + 0 + 0 + 2 + 1 + 2 + 331 = 666.

It is not a de Polignac number, because 213232200212331 - 217 = 213232200081259 is a prime.

It is a super-2 number, since 2×2132322002123312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213232200212295 and 213232200212304.

It is not an unprimeable number, because it can be changed into a prime (213232200212351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707963290 + ... + 708264416.

It is an arithmetic number, because the mean of its divisors is an integer number (9887257830960).

Almost surely, 2213232200212331 is an apocalyptic number.

213232200212331 is a deficient number, since it is larger than the sum of its proper divisors (103160050378389).

213232200212331 is a wasteful number, since it uses less digits than its factorization.

213232200212331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341952 (or 341946 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213232200212331 its reverse (133212002232312), we get a palindrome (346444202444643).

The spelling of 213232200212331 in words is "two hundred thirteen trillion, two hundred thirty-two billion, two hundred million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 653 1959 5877 17631 40163 120489 301127 361467 903381 1084401 2710143 8130429 26226439 78679317 196635931 236037951 589907793 708113853 1769723379 5309170137 12094163701 36282491103 108847473309 326542419927 7897488896753 23692466690259 71077400070777 213232200212331