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213321332033232 = 24323193225844233
BaseRepresentation
bin110000100000001110111110…
…001110000000011011010000
31000222022022122102001011220220
4300200032332032000123100
5210430024042000030412
62033410244514433040
762634646320313353
oct6040167616003320
91028268572034826
10213321332033232
1161a75083725675
121bb1312a592780
1392051663c3067
143a96b43d3229a
15199de9da6c68c
hexc203be3806d0

213321332033232 has 40 divisors (see below), whose sum is σ = 575040112440384. Its totient is φ = 68015497169664.

The previous prime is 213321332033213. The next prime is 213321332033233. The reversal of 213321332033232 is 232330233123312.

It is a super-2 number, since 2×2133213320332322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213321332033193 and 213321332033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321332033233) 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 7 ways as a sum of consecutive naturals, for example, 96612921013 + ... + 96612923220.

Almost surely, 2213321332033232 is an apocalyptic number.

It is an amenable number.

213321332033232 is an abundant number, since it is smaller than the sum of its proper divisors (361718780407152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213321332033232 is a wasteful number, since it uses less digits than its factorization.

213321332033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193225844267 (or 193225844261 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 213321332033232 its reverse (232330233123312), we get a palindrome (445651565156544).

The spelling of 213321332033232 in words is "two hundred thirteen trillion, three hundred twenty-one billion, three hundred thirty-two million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 193225844233 386451688466 579677532699 772903376932 1159355065398 1545806753864 2318710130796 3091613507728 4444194417359 4637420261592 8888388834718 9274840523184 13332583252077 17776777669436 26665166504154 35553555338872 53330333008308 71107110677744 106660666016616 213321332033232