Search a number
-
+
223201120133 is a prime number
BaseRepresentation
bin1100111111011111010…
…0101100111110000101
3210100010021021201001002
43033313310230332011
512124103441321013
6250312010343045
722061063134445
oct3176764547605
9710107251032
10223201120133
1186728239152
123731172aa85
1318080c68424
14ab355a4125
155c15260358
hex33f7d2cf85

223201120133 has 2 divisors, whose sum is σ = 223201120134. Its totient is φ = 223201120132.

The previous prime is 223201120099. The next prime is 223201120151. The reversal of 223201120133 is 331021102322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135717086404 + 87484033729 = 368398^2 + 295777^2 .

It is a cyclic number.

It is not a de Polignac number, because 223201120133 - 216 = 223201054597 is a prime.

It is a super-3 number, since 3×2232011201333 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223201120333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600560066 + 111600560067.

It is an arithmetic number, because the mean of its divisors is an integer number (111600560067).

Almost surely, 2223201120133 is an apocalyptic number.

It is an amenable number.

223201120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

223201120133 is an equidigital number, since it uses as much as digits as its factorization.

223201120133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 223201120133 its reverse (331021102322), we get a palindrome (554222222455).

The spelling of 223201120133 in words is "two hundred twenty-three billion, two hundred one million, one hundred twenty thousand, one hundred thirty-three".