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212211202112212 = 22101525275252753
BaseRepresentation
bin110000010000000101000101…
…010100011011101011010100
31000211101012012112202002221011
4300100011011110123223110
5210303332020220042322
62031200251433502004
762461516262552362
oct6020050524335324
91024335175662834
10212211202112212
11616872a1292026
121b973b52271904
139154579a3baa4
143a59111366632
151980178ae8677
hexc1014551bad4

212211202112212 has 12 divisors (see below), whose sum is σ = 375046530466356. Its totient is φ = 105055050550400.

The previous prime is 212211202112207. The next prime is 212211202112219.

212211202112212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 198575050655556 + 13636151456656 = 14091666^2 + 3692716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211202112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262637625973 + ... + 262637626780.

It is an arithmetic number, because the mean of its divisors is an integer number (31253877538863).

Almost surely, 2212211202112212 is an apocalyptic number.

It is an amenable number.

212211202112212 is a deficient number, since it is larger than the sum of its proper divisors (162835328354144).

212211202112212 is a wasteful number, since it uses less digits than its factorization.

212211202112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525275252858 (or 525275252856 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 21221120 and 2112212, that added together give a palindrome (23333332).

The spelling of 212211202112212 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 101 202 404 525275252753 1050550505506 2101101011012 53052800528053 106105601056106 212211202112212