Search a number
-
+
212213420097 = 37234717475351
BaseRepresentation
bin1100010110100011100…
…1111101000001000001
3202021202111222201011220
43011220321331001001
511434103113420342
6241253422025253
721221563210530
oct3055071750101
9667674881156
10212213420097
1181aa9a41518
1235165a18229
131701c759483
14a3b21b6317
1557c08005ec
hex3168e7d041

212213420097 has 64 divisors (see below), whose sum is σ = 344873631744. Its totient is φ = 113438318400.

The previous prime is 212213420077. The next prime is 212213420123. The reversal of 212213420097 is 790024312212.

It is not a de Polignac number, because 212213420097 - 26 = 212213420033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212213420047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39655972 + ... + 39661322.

It is an arithmetic number, because the mean of its divisors is an integer number (5388650496).

Almost surely, 2212213420097 is an apocalyptic number.

It is an amenable number.

212213420097 is a deficient number, since it is larger than the sum of its proper divisors (132660211647).

212213420097 is a wasteful number, since it uses less digits than its factorization.

212213420097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 212213420097 in words is "two hundred twelve billion, two hundred thirteen million, four hundred twenty thousand, ninety-seven".

Divisors: 1 3 7 21 23 47 69 141 161 329 483 987 1081 1747 3243 5241 5351 7567 12229 16053 22701 36687 37457 40181 82109 112371 120543 123073 246327 251497 281267 369219 574763 754491 843801 861511 1724289 1760479 1888507 2584533 5281437 5665521 5784431 9348197 13219549 17353293 28044591 39658647 40491017 65437379 121473051 196312137 215008531 439365259 645025593 1318095777 1505059717 3075556813 4515179151 9226670439 10105400957 30316202871 70737806699 212213420097