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223330003133 is a prime number
BaseRepresentation
bin1100111111111110000…
…0010110100010111101
3210100110020210122021112
43033333200112202331
512124334440100013
6250332453011405
722064216463566
oct3177740264275
9710406718245
10223330003133
1186793a67926
1237348923b65
13180a1882663
14ab4875316d
155c2171cba8
hex33ff8168bd

223330003133 has 2 divisors, whose sum is σ = 223330003134. Its totient is φ = 223330003132.

The previous prime is 223330003121. The next prime is 223330003241. The reversal of 223330003133 is 331300033322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177251946169 + 46078056964 = 421013^2 + 214658^2 .

It is a cyclic number.

It is not a de Polignac number, because 223330003133 - 212 = 223329999037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223330003099 and 223330003108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223330033133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111665001566 + 111665001567.

It is an arithmetic number, because the mean of its divisors is an integer number (111665001567).

Almost surely, 2223330003133 is an apocalyptic number.

It is an amenable number.

223330003133 is a deficient number, since it is larger than the sum of its proper divisors (1).

223330003133 is an equidigital number, since it uses as much as digits as its factorization.

223330003133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 223330003133 its reverse (331300033322), we get a palindrome (554630036455).

The spelling of 223330003133 in words is "two hundred twenty-three billion, three hundred thirty million, three thousand, one hundred thirty-three".