Search a number
-
+
212120222120 = 2355303005553
BaseRepresentation
bin1100010110001101011…
…0011011100110101000
3202021112000121202120222
43011203112123212220
511433410234101440
6241240252305212
721216352065362
oct3054326334650
9667460552528
10212120222120
1181a613764a4
123513a772208
1317006357a41
14a3a3a75d32
1557b75412b5
hex316359b9a8

212120222120 has 16 divisors (see below), whose sum is σ = 477270499860. Its totient is φ = 84848088832.

The previous prime is 212120222117. The next prime is 212120222131. The reversal of 212120222120 is 21222021212.

It is a happy number.

212120222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 211951585924 + 168636196 = 460382^2 + 12986^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2651502737 + ... + 2651502816.

Almost surely, 2212120222120 is an apocalyptic number.

212120222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120222120 is an abundant number, since it is smaller than the sum of its proper divisors (265150277740).

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

212120222120 is a wasteful number, since it uses less digits than its factorization.

212120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303005564 (or 5303005560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212120222120 its reverse (21222021212), we get a palindrome (233342243332).

The spelling of 212120222120 in words is "two hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5303005553 10606011106 21212022212 26515027765 42424044424 53030055530 106060111060 212120222120