Search a number
-
+
212101220223 = 3419137817557
BaseRepresentation
bin1100010110001000110…
…1111100011101111111
3202021110200212100220000
43011202031330131333
511433340403021343
6241234333125343
721216031424304
oct3054215743577
9667420770800
10212101220223
1181a51678052
1235134329853
1317002433a09
14a3a132b0ab
1557b5a3aed3
hex316237c77f

212101220223 has 20 divisors (see below), whose sum is σ = 333518490360. Its totient is φ = 133958664432.

The previous prime is 212101220197. The next prime is 212101220251. The reversal of 212101220223 is 322022101212.

212101220223 is a `hidden beast` number, since 212 + 10 + 1 + 220 + 223 = 666.

It is not a de Polignac number, because 212101220223 - 213 = 212101212031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101220196 and 212101220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101227223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68907240 + ... + 68910317.

It is an arithmetic number, because the mean of its divisors is an integer number (16675924518).

Almost surely, 2212101220223 is an apocalyptic number.

212101220223 is a deficient number, since it is larger than the sum of its proper divisors (121417270137).

212101220223 is a wasteful number, since it uses less digits than its factorization.

212101220223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137817588 (or 137817579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212101220223 its reverse (322022101212), we get a palindrome (534123321435).

The spelling of 212101220223 in words is "two hundred twelve billion, one hundred one million, two hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 9 19 27 57 81 171 513 1539 137817557 413452671 1240358013 2618533583 3721074039 7855600749 11163222117 23566802247 70700406741 212101220223