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212040302421141 = 3224317968870897
BaseRepresentation
bin110000001101100101111010…
…111001110110010010010101
31000210202212002020211021200100
4300031211322321312102111
5210243032014404434031
62030545545320204313
762443256235263235
oct6015457271662225
91023685066737610
10212040302421141
1161620872923717
121b9469b8309699
139141412598b2c
143a50b3c013cc5
15197a9c52d2de6
hexc0d97ae76495

212040302421141 has 12 divisors (see below), whose sum is σ = 306293032468332. Its totient is φ = 141354388242816.

The previous prime is 212040302421137. The next prime is 212040302421169. The reversal of 212040302421141 is 141124203040212.

212040302421141 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 403 + 0 + 2 + 4 + 211 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153241250274225 + 58799052146916 = 12379065^2 + 7668054^2 .

It is not a de Polignac number, because 212040302421141 - 22 = 212040302421137 is a prime.

It is a super-4 number, since 4×2120403024211414 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212040302422141) 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, 484216596 + ... + 484654301.

It is an arithmetic number, because the mean of its divisors is an integer number (25524419372361).

Almost surely, 2212040302421141 is an apocalyptic number.

It is an amenable number.

212040302421141 is a deficient number, since it is larger than the sum of its proper divisors (94252730047191).

212040302421141 is a wasteful number, since it uses less digits than its factorization.

212040302421141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968895220 (or 968895217 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212040302421141 its reverse (141124203040212), we get a palindrome (353164505461353).

The spelling of 212040302421141 in words is "two hundred twelve trillion, forty billion, three hundred two million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 24317 72951 218853 968870897 2906612691 8719838073 23560033602349 70680100807047 212040302421141