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212323200313221 = 346629339540737
BaseRepresentation
bin110000010001101101011000…
…111011101010011110000101
31000211202220021220010012210000
4300101231120323222132011
5210312200403240010341
62031323533123551513
762502562556552634
oct6021553073523605
91024686256105700
10212323200313221
116171a844360128
121b9917aa22b599
139161cb820324a
143a606d7a9751b
15198303134a8b6
hexc11b58eea785

212323200313221 has 20 divisors (see below), whose sum is σ = 317178955881612. Its totient is φ = 141546661429248.

The previous prime is 212323200313193. The next prime is 212323200313229. The reversal of 212323200313221 is 122313002323212.

212323200313221 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 320 + 0 + 313 + 2 + 21 = 666.

212323200313221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137630203928100 + 74692996385121 = 11731590^2 + 8642511^2 .

It is not a de Polignac number, because 212323200313221 - 215 = 212323200280453 is a prime.

It is a super-2 number, since 2×2123232003132212 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323200313229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14400636 + ... + 25140101.

Almost surely, 2212323200313221 is an apocalyptic number.

It is an amenable number.

212323200313221 is a deficient number, since it is larger than the sum of its proper divisors (104855755568391).

212323200313221 is an equidigital number, since it uses as much as digits as its factorization.

212323200313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39607042 (or 39607033 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212323200313221 its reverse (122313002323212), we get a palindrome (334636202636433).

The spelling of 212323200313221 in words is "two hundred twelve trillion, three hundred twenty-three billion, two hundred million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 66293 198879 596637 1789911 5369733 39540737 118622211 355866633 1067599899 3202799697 2621274077941 7863822233823 23591466701469 70774400104407 212323200313221