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2111211333317 is a prime number
BaseRepresentation
bin11110101110001110000…
…000000110011011000101
321110211101221120221021002
4132232032000012123011
5234042230100131232
64253513241503045
7305346533145362
oct36561600063305
97424357527232
102111211333317
117443a5838609
122a12004a1a85
131241179c3148
147427c8b3469
1539db65edb62
hex1eb8e0066c5

2111211333317 has 2 divisors, whose sum is σ = 2111211333318. Its totient is φ = 2111211333316.

The previous prime is 2111211333299. The next prime is 2111211333331. The reversal of 2111211333317 is 7133331121112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2042752704001 + 68458629316 = 1429249^2 + 261646^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111211333317 - 214 = 2111211316933 is a prime.

It is a super-2 number, since 2×21112113333172 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2111211333317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111211333367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055605666658 + 1055605666659.

It is an arithmetic number, because the mean of its divisors is an integer number (1055605666659).

Almost surely, 22111211333317 is an apocalyptic number.

It is an amenable number.

2111211333317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111211333317 is an equidigital number, since it uses as much as digits as its factorization.

2111211333317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 29.

Adding to 2111211333317 its reverse (7133331121112), we get a palindrome (9244542454429).

The spelling of 2111211333317 in words is "two trillion, one hundred eleven billion, two hundred eleven million, three hundred thirty-three thousand, three hundred seventeen".