Search a number
-
+
213220100123201 is a prime number
BaseRepresentation
bin110000011110110000101100…
…010100111010101001000001
31000221221122100101100022210202
4300132300230110322221001
5210421344231112420301
62033251543423334545
762624433564264413
oct6036605424725101
91027848311308722
10213220100123201
1161a36155979306
121bab7598151455
1391c87525c8992
143a91c9d4369b3
15199b5265e266b
hexc1ec2c53aa41

213220100123201 has 2 divisors, whose sum is σ = 213220100123202. Its totient is φ = 213220100123200.

The previous prime is 213220100123131. The next prime is 213220100123227. The reversal of 213220100123201 is 102321001022312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177872901610000 + 35347198513201 = 13336900^2 + 5945351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213220100123201 is a prime.

It is a super-2 number, since 2×2132201001232012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213220100123501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106610050061600 + 106610050061601.

It is an arithmetic number, because the mean of its divisors is an integer number (106610050061601).

Almost surely, 2213220100123201 is an apocalyptic number.

It is an amenable number.

213220100123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213220100123201 is an equidigital number, since it uses as much as digits as its factorization.

213220100123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213220100123201 its reverse (102321001022312), we get a palindrome (315541101145513).

The spelling of 213220100123201 in words is "two hundred thirteen trillion, two hundred twenty billion, one hundred million, one hundred twenty-three thousand, two hundred one".