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211210212120011 = 13295359179161909
BaseRepresentation
bin110000000001100000110101…
…101010101001010111001011
31000200211111110211110212110022
4300001200311222221113023
5210140432003300320021
62025112344300211055
762326301644163606
oct6001406552512713
91020744424425408
10211210212120011
1161330825559365
121b831b54839a8b
1390b106462b360
143a228b365933d
1519640e04cb1ab
hexc01835aa95cb

211210212120011 has 32 divisors (see below), whose sum is σ = 243803527128000. Its totient is φ = 181558377681408.

The previous prime is 211210212119981. The next prime is 211210212120029. The reversal of 211210212120011 is 110021212012112.

It is a de Polignac number, because none of the positive numbers 2k-211210212120011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211210212120311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88402076 + ... + 90759833.

It is an arithmetic number, because the mean of its divisors is an integer number (7618860222750).

Almost surely, 2211210212120011 is an apocalyptic number.

211210212120011 is a deficient number, since it is larger than the sum of its proper divisors (32593315007989).

211210212120011 is a wasteful number, since it uses less digits than its factorization.

211210212120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179162063.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211210212120011 its reverse (110021212012112), we get a palindrome (321231424132123).

The spelling of 211210212120011 in words is "two hundred eleven trillion, two hundred ten billion, two hundred twelve million, one hundred twenty thousand, eleven".

Divisors: 1 13 29 53 59 377 689 767 1537 1711 3127 19981 22243 40651 90683 1178879 179161909 2329104817 5195695361 9495581177 10570552631 67544039693 123442555301 137417184203 275371854133 306546026299 560239289443 3579834103729 3985098341887 7283110762759 16246939393847 211210212120011