Search a number
-
+
10001102222009 is a prime number
BaseRepresentation
bin1001000110001001000000…
…1001010011001010111001
31022102002121000020221011202
42101202100021103022321
52302324224132101014
633134235401303545
72051361431153453
oct221422011231271
938362530227152
1010001102222009
1132064975267a8
121156344a94bb5
1357713b6066b2
142680ad6892d3
15125241ab73de
hex918902532b9

10001102222009 has 2 divisors, whose sum is σ = 10001102222010. Its totient is φ = 10001102222008.

The previous prime is 10001102221949. The next prime is 10001102222113. The reversal of 10001102222009 is 90022220110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7322652481600 + 2678449740409 = 2706040^2 + 1636597^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001102222009 - 232 = 9996807254713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001102282009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000551111004 + 5000551111005.

It is an arithmetic number, because the mean of its divisors is an integer number (5000551111005).

Almost surely, 210001102222009 is an apocalyptic number.

It is an amenable number.

10001102222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001102222009 is an equidigital number, since it uses as much as digits as its factorization.

10001102222009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10001102222009 in words is "ten trillion, one billion, one hundred two million, two hundred twenty-two thousand, nine".