Search a number
-
+
212220120210 = 23575917128339
BaseRepresentation
bin1100010110100101001…
…1100000110010010010
3202021202222121010000020
43011221103200302102
511434111322321320
6241254221404310
721222004154430
oct3055123406222
9667688533006
10212220120210
11820027a83aa
1235168109696
1317020c64037
14a3b303bd50
1557c11c5940
hex31694e0c92

212220120210 has 64 divisors (see below), whose sum is σ = 591955430400. Its totient is φ = 47685292992.

The previous prime is 212220120197. The next prime is 212220120223. The reversal of 212220120210 is 12021022212.

It is an interprime number because it is at equal distance from previous prime (212220120197) and next prime (212220120223).

It is a super-3 number, since 3×2122201202103 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212220120210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8551780 + ... + 8576559.

It is an arithmetic number, because the mean of its divisors is an integer number (9249303600).

Almost surely, 2212220120210 is an apocalyptic number.

212220120210 is an abundant number, since it is smaller than the sum of its proper divisors (379735310190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212220120210 is a wasteful number, since it uses less digits than its factorization.

212220120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17128415.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212220120210 its reverse (12021022212), we get a palindrome (224241142422).

The spelling of 212220120210 in words is "two hundred twelve billion, two hundred twenty million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 6195 12390 17128339 34256678 51385017 85641695 102770034 119898373 171283390 239796746 256925085 359695119 513850170 599491865 719390238 1010572001 1198983730 1798475595 2021144002 3031716003 3596951190 5052860005 6063432006 7074004007 10105720010 14148008014 15158580015 21222012021 30317160030 35370020035 42444024042 70740040070 106110060105 212220120210