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212241101213421 = 33717148744422991
BaseRepresentation
bin110000010000100000111011…
…011100011100111011101101
31000211111001101021011211012000
4300100200323130130323231
5210304324233402312141
62031222114343202513
762463625225663560
oct6020407334347355
91024431337154160
10212241101213421
1161698a44580325
121b9798b7446439
139157333237257
143a5a74a2284d7
151980d289415b6
hexc1083b71ceed

212241101213421 has 64 divisors (see below), whose sum is σ = 380744133672960. Its totient is φ = 114069709105920.

The previous prime is 212241101213371. The next prime is 212241101213443. The reversal of 212241101213421 is 124312101142212.

212241101213421 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 110 + 121 + 3 + 421 = 666.

212241101213421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212241101213421 - 26 = 212241101213357 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212241101213621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17433765 + ... + 26989226.

It is an arithmetic number, because the mean of its divisors is an integer number (5949127088640).

Almost surely, 2212241101213421 is an apocalyptic number.

212241101213421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212241101213421 is a deficient number, since it is larger than the sum of its proper divisors (168503032459539).

212241101213421 is a wasteful number, since it uses less digits than its factorization.

212241101213421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44424511 (or 44424505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 212241101213421 its reverse (124312101142212), we get a palindrome (336553202355633).

The spelling of 212241101213421 in words is "two hundred twelve trillion, two hundred forty-one billion, one hundred one million, two hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 1487 3213 4461 10409 13383 25279 31227 40149 75837 93681 176953 227511 281043 530859 682533 1592577 4777731 44422991 133268973 310960937 399806919 755190847 932882811 1199420757 2265572541 2798648433 5286335929 6796717623 8395945299 15859007787 20390152869 47577023361 66056987617 142731070083 198170962851 462398913319 594512888553 1122968789489 1387196739957 1783538665659 3368906368467 4161590219871 7860781526423 10106719105401 12484770659613 23582344579269 30320157316203 70747033737807 212241101213421