Search a number
-
+
12100013119 is a prime number
BaseRepresentation
bin10110100010011011…
…11000110000111111
31011020021022100120001
423101031320300333
5144240100404434
65320401135131
7605564262115
oct132115706077
934207270501
1012100013119
11514a161a47
12241832a4a7
1311aaab129c
1482b013ab5
154ac429114
hex2d1378c3f

12100013119 has 2 divisors, whose sum is σ = 12100013120. Its totient is φ = 12100013118.

The previous prime is 12100013077. The next prime is 12100013179. The reversal of 12100013119 is 91131000121.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12100013119 - 211 = 12100011071 is a prime.

It is a super-2 number, since 2×121000131192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100013096 and 12100013105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100013179) 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, 6050006559 + 6050006560.

It is an arithmetic number, because the mean of its divisors is an integer number (6050006560).

Almost surely, 212100013119 is an apocalyptic number.

12100013119 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100013119 is an equidigital number, since it uses as much as digits as its factorization.

12100013119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 12100013119 in words is "twelve billion, one hundred million, thirteen thousand, one hundred nineteen".