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110100120113 is a prime number
BaseRepresentation
bin110011010001001111…
…0101000001000110001
3101112012001210121100102
41212202132220020301
53300441112320423
6122325043402145
710645245402554
oct1464236501061
9345161717312
10110100120113
1142769713905
1219408383355
13a4c8183289
14548660669b
152ce5cc2c28
hex19a27a8231

110100120113 has 2 divisors, whose sum is σ = 110100120114. Its totient is φ = 110100120112.

The previous prime is 110100120023. The next prime is 110100120241. The reversal of 110100120113 is 311021001011.

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., 78844708849 + 31255411264 = 280793^2 + 176792^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100120113 - 236 = 41380643377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100120094 and 110100120103.

It is not a weakly prime, because it can be changed into another prime (110100120913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050060056 + 55050060057.

It is an arithmetic number, because the mean of its divisors is an integer number (55050060057).

Almost surely, 2110100120113 is an apocalyptic number.

It is an amenable number.

110100120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100120113 is an equidigital number, since it uses as much as digits as its factorization.

110100120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 110100120113 its reverse (311021001011), we get a palindrome (421121121124).

The spelling of 110100120113 in words is "one hundred ten billion, one hundred million, one hundred twenty thousand, one hundred thirteen".