Search a number
-
+
212220001001 = 2925212902789
BaseRepresentation
bin1100010110100101001…
…1000011101011101001
3202021202222101001111002
43011221103003223221
511434111310013001
6241254215044345
721222003150041
oct3055123035351
9667688331432
10212220001001
1182002726888
12351680706b5
1317020c219b8
14a3b300a721
1557c11a046b
hex31694c3ae9

212220001001 has 8 divisors (see below), whose sum is σ = 219625091400. Its totient is φ = 204820721280.

The previous prime is 212220000989. The next prime is 212220001009. The reversal of 212220001001 is 100100022212.

It is a happy number.

212220001001 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 4 ways, for example, as 342990400 + 211877010601 = 18520^2 + 460301^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212220001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212220001009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1378286 + ... + 1524503.

It is an arithmetic number, because the mean of its divisors is an integer number (27453136425).

Almost surely, 2212220001001 is an apocalyptic number.

It is an amenable number.

212220001001 is a deficient number, since it is larger than the sum of its proper divisors (7405090399).

212220001001 is a wasteful number, since it uses less digits than its factorization.

212220001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905339.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212220001001 its reverse (100100022212), we get a palindrome (312320023213).

The spelling of 212220001001 in words is "two hundred twelve billion, two hundred twenty million, one thousand, one".

Divisors: 1 29 2521 73109 2902789 84180881 7317931069 212220001001