Search a number
-
+
12223130100001 is a prime number
BaseRepresentation
bin1011000111011110101101…
…0100111110000100100001
31121021112000221201121112021
42301313223110332010201
53100230432301200001
641555121202301441
72401043362404262
oct261675324760441
947245027647467
1012223130100001
113992889315527
121454b11657881
136a8836a20062
14303861976969
15162e41d02ba1
hexb1deb53e121

12223130100001 has 2 divisors, whose sum is σ = 12223130100002. Its totient is φ = 12223130100000.

The previous prime is 12223130099993. The next prime is 12223130100019. The reversal of 12223130100001 is 10000103132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9819141869601 + 2403988230400 = 3133551^2 + 1550480^2 .

It is an emirp because it is prime and its reverse (10000103132221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12223130100001 - 23 = 12223130099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12223130100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111565050000 + 6111565050001.

It is an arithmetic number, because the mean of its divisors is an integer number (6111565050001).

Almost surely, 212223130100001 is an apocalyptic number.

It is an amenable number.

12223130100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223130100001 is an equidigital number, since it uses as much as digits as its factorization.

12223130100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12223130100001 its reverse (10000103132221), we get a palindrome (22223233232222).

The spelling of 12223130100001 in words is "twelve trillion, two hundred twenty-three billion, one hundred thirty million, one hundred thousand, one".