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223211131133 is a prime number
BaseRepresentation
bin1100111111100001101…
…0111001000011111101
3210100010222010022112212
43033320122321003331
512124114022144013
6250313005110205
722061244211154
oct3177032710375
9710128108485
10223211131133
1186732956601
1237314b58365
1318083061cb3
14ab36a4c59b
155c1608b6a8
hex33f86b90fd

223211131133 has 2 divisors, whose sum is σ = 223211131134. Its totient is φ = 223211131132.

The previous prime is 223211131081. The next prime is 223211131219. The reversal of 223211131133 is 331131112322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113836735609 + 109374395524 = 337397^2 + 330718^2 .

It is a cyclic number.

It is not a de Polignac number, because 223211131133 - 212 = 223211127037 is a prime.

It is a super-3 number, since 3×2232111311333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223211131099 and 223211131108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223231131133) 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, 111605565566 + 111605565567.

It is an arithmetic number, because the mean of its divisors is an integer number (111605565567).

Almost surely, 2223211131133 is an apocalyptic number.

It is an amenable number.

223211131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

223211131133 is an equidigital number, since it uses as much as digits as its factorization.

223211131133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 223211131133 its reverse (331131112322), we get a palindrome (554342243455).

The spelling of 223211131133 in words is "two hundred twenty-three billion, two hundred eleven million, one hundred thirty-one thousand, one hundred thirty-three".