Search a number
-
+
22003110001 is a prime number
BaseRepresentation
bin10100011111011111…
…001101000001110001
32002210102201210121001
4110133133031001301
5330030244010001
614035203002001
71406154230515
oct243737150161
962712653531
1022003110001
119371200234
124320969301
1320c86a0722
1410ca350145
1588ba45001
hex51f7cd071

22003110001 has 2 divisors, whose sum is σ = 22003110002. Its totient is φ = 22003110000.

The previous prime is 22003109969. The next prime is 22003110067. The reversal of 22003110001 is 10001130022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21955830625 + 47279376 = 148175^2 + 6876^2 .

It is a cyclic number.

It is not a de Polignac number, because 22003110001 - 25 = 22003109969 is a prime.

It is a super-2 number, since 2×220031100012 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22003110001.

It is not a weakly prime, because it can be changed into another prime (22003110601) 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, 11001555000 + 11001555001.

It is an arithmetic number, because the mean of its divisors is an integer number (11001555001).

Almost surely, 222003110001 is an apocalyptic number.

It is an amenable number.

22003110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22003110001 is an equidigital number, since it uses as much as digits as its factorization.

22003110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 22003110001 its reverse (10001130022), we get a palindrome (32004240023).

It can be divided in two parts, 220031 and 10001, that added together give a palindrome (230032).

The spelling of 22003110001 in words is "twenty-two billion, three million, one hundred ten thousand, one".