Search a number
-
+
22123002113 is a prime number
BaseRepresentation
bin10100100110101000…
…100011100100000001
32010002210022221122122
4110212220203210001
5330301442031423
614055124414025
71412141262302
oct244650434401
963083287578
1022123002113
119422948a23
124354b47315
13211748a4c4
1410dc23c7a9
158973288c8
hex526a23901

22123002113 has 2 divisors, whose sum is σ = 22123002114. Its totient is φ = 22123002112.

The previous prime is 22123002101. The next prime is 22123002137. The reversal of 22123002113 is 31120032122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14700835009 + 7422167104 = 121247^2 + 86152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22123002113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22123002091 and 22123002100.

It is not a weakly prime, because it can be changed into another prime (22123062113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061501056 + 11061501057.

It is an arithmetic number, because the mean of its divisors is an integer number (11061501057).

Almost surely, 222123002113 is an apocalyptic number.

It is an amenable number.

22123002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123002113 is an equidigital number, since it uses as much as digits as its factorization.

22123002113 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 17.

Adding to 22123002113 its reverse (31120032122), we get a palindrome (53243034235).

The spelling of 22123002113 in words is "twenty-two billion, one hundred twenty-three million, two thousand, one hundred thirteen".