Search a number
-
+
2223103132253 is a prime number
BaseRepresentation
bin100000010110011011010…
…001011100001001011101
321212112012212202020220102
4200112123101130021131
5242410403400213003
64421140211230445
7316420365560543
oct40263321341135
97775185666812
102223103132253
117878a3842213
122baa288a8425
1313183a111ab3
1479855027d93
153cc64834588
hex2059b45c25d

2223103132253 has 2 divisors, whose sum is σ = 2223103132254. Its totient is φ = 2223103132252.

The previous prime is 2223103132199. The next prime is 2223103132273. The reversal of 2223103132253 is 3522313013222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2198630597284 + 24472534969 = 1482778^2 + 156437^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223103132253 - 220 = 2223102083677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223103132273) 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, 1111551566126 + 1111551566127.

It is an arithmetic number, because the mean of its divisors is an integer number (1111551566127).

Almost surely, 22223103132253 is an apocalyptic number.

It is an amenable number.

2223103132253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223103132253 is an equidigital number, since it uses as much as digits as its factorization.

2223103132253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 2223103132253 its reverse (3522313013222), we get a palindrome (5745416145475).

The spelling of 2223103132253 in words is "two trillion, two hundred twenty-three billion, one hundred three million, one hundred thirty-two thousand, two hundred fifty-three".