Search a number
-
+
212202112002212 = 223753122922012037
BaseRepresentation
bin110000001111111100100111…
…100000011010100010100100
31000211100022202001002200020102
4300033330213200122202210
5210303204411133032322
62031152145433123232
762461045104110063
oct6017744740324244
91024308661080212
10212202112002212
1161683457144922
121b972235b59518
13915375b6cb787
143a588cbdb61da
15197ece5a6c792
hexc0ff2781a8a4

212202112002212 has 48 divisors (see below), whose sum is σ = 388902524013360. Its totient is φ = 101203241098752.

The previous prime is 212202112002211. The next prime is 212202112002253. The reversal of 212202112002212 is 212200211202212.

It can be written as a sum of positive squares in 8 ways, for example, as 107960952461476 + 104241159540736 = 10390426^2 + 10209856^2 .

It is a super-2 number, since 2×2122021120022122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212202112002211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365743 + ... + 20646294.

It is an arithmetic number, because the mean of its divisors is an integer number (8102135916945).

Almost surely, 2212202112002212 is an apocalyptic number.

It is an amenable number.

212202112002212 is a deficient number, since it is larger than the sum of its proper divisors (176700412011148).

212202112002212 is a wasteful number, since it uses less digits than its factorization.

212202112002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22013360 (or 22013358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212202112002212 its reverse (212200211202212), we get a palindrome (424402323204424).

The spelling of 212202112002212 in words is "two hundred twelve trillion, two hundred two billion, one hundred twelve million, two thousand, two hundred twelve".

Divisors: 1 2 4 37 53 74 106 148 212 1229 1961 2458 3922 4916 7844 45473 65137 90946 130274 181892 260548 2410069 4820138 9640276 22012037 44024074 88048148 814445369 1166637961 1628890738 2333275922 3257781476 4666551844 27052793473 43165604557 54105586946 86331209114 108211173892 172662418228 1000953358501 1433798054069 2001906717002 2867596108138 4003813434004 5735192216276 53050528000553 106101056001106 212202112002212