Search a number
-
+
211212100011 = 311101478313249
BaseRepresentation
bin1100010010110100111…
…0001110000110101011
3202012011201211101020210
43010231032032012223
511430030244200021
6241010212152203
721155014141143
oct3045516160653
9665151741223
10211212100011
11816357a6960
1234b26608663
1316bc0179493
14a319203923
15576295ce76
hex312d38e1ab

211212100011 has 32 divisors (see below), whose sum is σ = 310347648000. Its totient is φ = 126703872000.

The previous prime is 211212100003. The next prime is 211212100013. The reversal of 211212100011 is 110001212112.

211212100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211212100011 - 23 = 211212100003 is a prime.

It is a super-2 number, since 2×2112121000112 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211212100011.

It is not an unprimeable number, because it can be changed into a prime (211212100013) 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 31 ways as a sum of consecutive naturals, for example, 15935115 + ... + 15948363.

It is an arithmetic number, because the mean of its divisors is an integer number (9698364000).

Almost surely, 2211212100011 is an apocalyptic number.

211212100011 is a deficient number, since it is larger than the sum of its proper divisors (99135547989).

211212100011 is a wasteful number, since it uses less digits than its factorization.

211212100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18147.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211212100011 its reverse (110001212112), we get a palindrome (321213312123).

The spelling of 211212100011 in words is "two hundred eleven billion, two hundred twelve million, one hundred thousand, eleven".

Divisors: 1 3 11 33 101 303 1111 3333 4783 13249 14349 39747 52613 145739 157839 437217 483083 1338149 1449249 4014447 5313913 14719639 15941739 44158917 63369967 190109901 697069637 2091208911 6400366667 19201100001 70404033337 211212100011