Search a number
-
+
10202241220001 is a prime number
BaseRepresentation
bin1001010001110110010011…
…1101101011110110100001
31100010022202201202201011222
42110131210331223312201
52314123142223020001
633410502300144425
72102042022346355
oct224354475536641
940108681681158
1010202241220001
113283823218a56
121189319b38115
135900b48abc7c
14273b10b3b465
1512a5b502761b
hex94764f6bda1

10202241220001 has 2 divisors, whose sum is σ = 10202241220002. Its totient is φ = 10202241220000.

The previous prime is 10202241219943. The next prime is 10202241220013. The reversal of 10202241220001 is 10002214220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10184070180001 + 18171040000 = 3191249^2 + 134800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202241220001 is a prime.

It is a super-2 number, since 2×102022412200012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10202241220051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101120610000 + 5101120610001.

It is an arithmetic number, because the mean of its divisors is an integer number (5101120610001).

Almost surely, 210202241220001 is an apocalyptic number.

It is an amenable number.

10202241220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202241220001 is an equidigital number, since it uses as much as digits as its factorization.

10202241220001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10202241220001 its reverse (10002214220201), we get a palindrome (20204455440202).

The spelling of 10202241220001 in words is "ten trillion, two hundred two billion, two hundred forty-one million, two hundred twenty thousand, one".