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223211233333013 is a prime number
BaseRepresentation
bin110010110000001001101010…
…010001011100111100010101
31002021022210012122010222010112
4302300021222101130330111
5213224043101213124023
62110421454110332405
765005323305320532
oct6260115221347425
91067283178128115
10223211233333013
1165138397125652
122104b9ba4ba105
139771962774693
143d196a4b07d89
151ac1382dbd478
hexcb026a45cf15

223211233333013 has 2 divisors, whose sum is σ = 223211233333014. Its totient is φ = 223211233333012.

The previous prime is 223211233333009. The next prime is 223211233333043. The reversal of 223211233333013 is 310333332112322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214924308128209 + 8286925204804 = 14660297^2 + 2878702^2 .

It is a cyclic number.

It is not a de Polignac number, because 223211233333013 - 22 = 223211233333009 is a prime.

It is a super-3 number, since 3×2232112333330133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223211233333043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111605616666506 + 111605616666507.

It is an arithmetic number, because the mean of its divisors is an integer number (111605616666507).

Almost surely, 2223211233333013 is an apocalyptic number.

It is an amenable number.

223211233333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223211233333013 is an equidigital number, since it uses as much as digits as its factorization.

223211233333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 223211233333013 its reverse (310333332112322), we get a palindrome (533544565445335).

The spelling of 223211233333013 in words is "two hundred twenty-three trillion, two hundred eleven billion, two hundred thirty-three million, three hundred thirty-three thousand, thirteen".