Search a number
-
+
22203000210401 is a prime number
BaseRepresentation
bin1010000110001100010011…
…11100001100001111100001
32220121120211021000112001222
411003012021330030033201
510402233221023213101
6115115530102104425
74451054020604033
oct503061174141741
986546737015058
1022203000210401
11709026a87354a
1225a710ba1b115
13c509705c34aa
1456a8b944bc53
1528783e8be01b
hex143189f0c3e1

22203000210401 has 2 divisors, whose sum is σ = 22203000210402. Its totient is φ = 22203000210400.

The previous prime is 22203000210397. The next prime is 22203000210403. The reversal of 22203000210401 is 10401200030222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17046122403025 + 5156877807376 = 4128695^2 + 2270876^2 .

It is a cyclic number.

It is not a de Polignac number, because 22203000210401 - 22 = 22203000210397 is a prime.

It is a super-3 number, since 3×222030002104013 (a number of 41 digits) contains 333 as substring.

Together with 22203000210403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22203000210401.

It is not a weakly prime, because it can be changed into another prime (22203000210403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11101500105200 + 11101500105201.

It is an arithmetic number, because the mean of its divisors is an integer number (11101500105201).

Almost surely, 222203000210401 is an apocalyptic number.

It is an amenable number.

22203000210401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22203000210401 is an equidigital number, since it uses as much as digits as its factorization.

22203000210401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22203000210401 its reverse (10401200030222), we get a palindrome (32604200240623).

The spelling of 22203000210401 in words is "twenty-two trillion, two hundred three billion, two hundred ten thousand, four hundred one".