Search a number
-
+
223331112001 is a prime number
BaseRepresentation
bin1100111111111110010…
…0100101010001000001
3210100110022212222100201
43033333210211101001
512124340231041001
6250332532445201
722064232062464
oct3177744452101
9710408788321
10223331112001
1186794654a48
1237349179801
13180a1b802aa
14ab489612db
155c2188b501
hex33ff925441

223331112001 has 2 divisors, whose sum is σ = 223331112002. Its totient is φ = 223331112000.

The previous prime is 223331111977. The next prime is 223331112047. The reversal of 223331112001 is 100211133322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172537221376 + 50793890625 = 415376^2 + 225375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223331112001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223331112001.

It is not a weakly prime, because it can be changed into another prime (223331112061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111665556000 + 111665556001.

It is an arithmetic number, because the mean of its divisors is an integer number (111665556001).

Almost surely, 2223331112001 is an apocalyptic number.

It is an amenable number.

223331112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223331112001 is an equidigital number, since it uses as much as digits as its factorization.

223331112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 223331112001 its reverse (100211133322), we get a palindrome (323542245323).

The spelling of 223331112001 in words is "two hundred twenty-three billion, three hundred thirty-one million, one hundred twelve thousand, one".