Search a number
-
+
220212001001 is a prime number
BaseRepresentation
bin1100110100010110101…
…0000111100011101001
3210001101221201201110002
43031011222013203221
512101443233013001
6245055231232345
721624026060426
oct3150552074351
9701357651402
10220212001001
1185433a2a763
12368186786b5
13179c58c3695
14a9305d0d4d
155adcb1a46b
hex3345a878e9

220212001001 has 2 divisors, whose sum is σ = 220212001002. Its totient is φ = 220212001000.

The previous prime is 220212000991. The next prime is 220212001013. The reversal of 220212001001 is 100100212022.

It is a happy number.

220212001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210938118400 + 9273882601 = 459280^2 + 96301^2 .

It is a cyclic number.

It is not a de Polignac number, because 220212001001 - 210 = 220211999977 is a prime.

It is not a weakly prime, because it can be changed into another prime (220212001301) 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 as a sum of consecutive naturals, namely, 110106000500 + 110106000501.

It is an arithmetic number, because the mean of its divisors is an integer number (110106000501).

Almost surely, 2220212001001 is an apocalyptic number.

It is an amenable number.

220212001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212001001 is an equidigital number, since it uses as much as digits as its factorization.

220212001001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 220212001001 its reverse (100100212022), we get a palindrome (320312213023).

The spelling of 220212001001 in words is "two hundred twenty billion, two hundred twelve million, one thousand, one".