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110100223213 is a prime number
BaseRepresentation
bin110011010001001111…
…1000001010011101101
3101112012001222211202221
41212202133001103231
53300441124120323
6122325045515341
710645246312261
oct1464237012355
9345161884687
10110100223213
1142769784312
1219408412b51
13a4c81bb196
1454866320a1
152ce5ce355d
hex19a27c14ed

110100223213 has 2 divisors, whose sum is σ = 110100223214. Its totient is φ = 110100223212.

The previous prime is 110100223187. The next prime is 110100223241. The reversal of 110100223213 is 312322001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61584874569 + 48515348644 = 248163^2 + 220262^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110100223213 is a prime.

It is a super-3 number, since 3×1101002232133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100223253) 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, 55050111606 + 55050111607.

It is an arithmetic number, because the mean of its divisors is an integer number (55050111607).

Almost surely, 2110100223213 is an apocalyptic number.

It is an amenable number.

110100223213 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100223213 is an equidigital number, since it uses as much as digits as its factorization.

110100223213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110100223213 its reverse (312322001011), we get a palindrome (422422224224).

The spelling of 110100223213 in words is "one hundred ten billion, one hundred million, two hundred twenty-three thousand, two hundred thirteen".