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212234040312432 = 24317260090735677
BaseRepresentation
bin110000010000011010010110…
…100101010000001001110000
31000211110101011011211212221120
4300100122112211100021300
5210304220303304444212
62031214545551422240
762463255240215445
oct6020322645201160
91024411134755846
10212234040312432
1161695a5090a966
121b978466824980
13915677942a228
143a5a27a5779cc
151980a63ae788c
hexc10696950270

212234040312432 has 40 divisors (see below), whose sum is σ = 580522522033296. Its totient is φ = 66583228333056.

The previous prime is 212234040312421. The next prime is 212234040312433. The reversal of 212234040312432 is 234213040432212.

It is a happy number.

It is a super-2 number, since 2×2122340403124322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212234040312393 and 212234040312402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212234040312433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130045367023 + ... + 130045368654.

Almost surely, 2212234040312432 is an apocalyptic number.

It is an amenable number.

212234040312432 is an abundant number, since it is smaller than the sum of its proper divisors (368288481720864).

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

212234040312432 is a wasteful number, since it uses less digits than its factorization.

212234040312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260090735705 (or 260090735699 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 212234040312432 its reverse (234213040432212), we get a palindrome (446447080744644).

The spelling of 212234040312432 in words is "two hundred twelve trillion, two hundred thirty-four billion, forty million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 260090735677 520181471354 780272207031 1040362942708 1560544414062 2080725885416 3121088828124 4161451770832 4421542506509 6242177656248 8843085013018 12484355312496 13264627519527 17686170026036 26529255039054 35372340052072 53058510078108 70744680104144 106117020156216 212234040312432