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212214300304401 = 331723137146728189
BaseRepresentation
bin110000010000000111111101…
…111111000110010000010001
31000211101111012110112120122000
4300100013331333012100101
5210303404341334220101
62031201523110504213
762461656123010563
oct6020077577062021
91024344173476560
10212214300304401
116168864111973a
121b974677965069
139154951882cc5
143a59326a0d333
1519802aaad6486
hexc101fdfc6411

212214300304401 has 64 divisors (see below), whose sum is σ = 349893911001600. Its totient is φ = 126435092686848.

The previous prime is 212214300304381. The next prime is 212214300304403. The reversal of 212214300304401 is 104403003412212.

212214300304401 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 14 + 300 + 304 + 40 + 1 = 666.

It is not a de Polignac number, because 212214300304401 - 217 = 212214300173329 is a prime.

It is a super-2 number, since 2×2122143003044012 (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 not an unprimeable number, because it can be changed into a prime (212214300304403) 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, 71917786 + ... + 74810403.

It is an arithmetic number, because the mean of its divisors is an integer number (5467092359400).

Almost surely, 2212214300304401 is an apocalyptic number.

It is an amenable number.

212214300304401 is a deficient number, since it is larger than the sum of its proper divisors (137679610697199).

212214300304401 is a wasteful number, since it uses less digits than its factorization.

212214300304401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146728375 (or 146728369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212214300304401 its reverse (104403003412212), we get a palindrome (316617303716613).

The spelling of 212214300304401 in words is "two hundred twelve trillion, two hundred fourteen billion, three hundred million, three hundred four thousand, four hundred one".

Divisors: 1 3 9 17 23 27 51 69 137 153 207 391 411 459 621 1173 1233 2329 3151 3519 3699 6987 9453 10557 20961 28359 53567 62883 85077 160701 482103 1446309 146728189 440184567 1320553701 2494379213 3374748347 3961661103 7483137639 10124245041 20101761893 22449412917 30372735123 57370721899 60305285679 67348238751 91118205369 172112165697 180915857037 341729952181 462340523539 516336497091 542747571111 1025189856543 1387021570617 1549009491273 3075569569629 4161064711851 7859788900163 9226708708887 12483194135553 23579366700489 70738100101467 212214300304401