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10330111117 is a prime number
BaseRepresentation
bin10011001111011100…
…01111110010001101
3222122220221000110001
421213232033302031
5132124002023432
64425014044301
7513663332014
oct114756176215
928586830401
1010330111117
114421095417
122003649691
13c881cb9b1
146ddd33a7b
15406d689e7
hex267b8fc8d

10330111117 has 2 divisors, whose sum is σ = 10330111118. Its totient is φ = 10330111116.

The previous prime is 10330111091. The next prime is 10330111147. The reversal of 10330111117 is 71111103301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9939890601 + 390220516 = 99699^2 + 19754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10330111117 is a prime.

It is a super-2 number, since 2×103301111172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10330111094 and 10330111103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10330111147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165055558 + 5165055559.

It is an arithmetic number, because the mean of its divisors is an integer number (5165055559).

Almost surely, 210330111117 is an apocalyptic number.

It is an amenable number.

10330111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10330111117 is an equidigital number, since it uses as much as digits as its factorization.

10330111117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 10330111117 its reverse (71111103301), we get a palindrome (81441214418).

The spelling of 10330111117 in words is "ten billion, three hundred thirty million, one hundred eleven thousand, one hundred seventeen".