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212102211211211 = 1723336949976949
BaseRepresentation
bin110000001110011111100100…
…111101001000111111001011
31000210222202212210010200011002
4300032133210331020333023
5210300040312032224321
62031034224412325215
762450610343310456
oct6016374475107713
91023882783120132
10212102211211211
116164505180aa32
121b9569b547380b
1391471ca6167a9
143a53b321bc49d
15197c3ea3cd20b
hexc0e7e4f48fcb

212102211211211 has 16 divisors (see below), whose sum is σ = 224681226300000. Its totient is φ = 199534580264448.

The previous prime is 212102211211199. The next prime is 212102211211213. The reversal of 212102211211211 is 112112112201212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212102211211211 - 26 = 212102211211147 is a prime.

It is a super-3 number, since 3×2121022112112113 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212102211211213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2756361365 + ... + 2756438313.

It is an arithmetic number, because the mean of its divisors is an integer number (14042576643750).

Almost surely, 2212102211211211 is an apocalyptic number.

212102211211211 is a deficient number, since it is larger than the sum of its proper divisors (12579015088789).

212102211211211 is a wasteful number, since it uses less digits than its factorization.

212102211211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148798.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212102211211211 its reverse (112112112201212), we get a palindrome (324214323412423).

Subtracting from 212102211211211 its reverse (112112112201212), we obtain a palindrome (99990099009999).

The spelling of 212102211211211 in words is "two hundred twelve trillion, one hundred two billion, two hundred eleven million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 17 2333 39661 69499 76949 1181483 1308133 162141167 179522017 2756399839 3051874289 5347878551 90913935367 12476600659483 212102211211211