Search a number
-
+
12100219981 is a prime number
BaseRepresentation
bin10110100010011101…
…01011010001001101
31011020021200212022121
423101032223101031
5144240124014411
65320405412541
7605566113163
oct132116532115
934207625277
1012100219981
11514a293403
12241840a151
1311aab544a5
1482b069233
154ac46a571
hex2d13ab44d

12100219981 has 2 divisors, whose sum is σ = 12100219982. Its totient is φ = 12100219980.

The previous prime is 12100219951. The next prime is 12100220017. The reversal of 12100219981 is 18991200121.

12100219981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7372969956 + 4727250025 = 85866^2 + 68755^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100219981 - 213 = 12100211789 is a prime.

It is a super-2 number, since 2×121002199812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100219951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050109990 + 6050109991.

It is an arithmetic number, because the mean of its divisors is an integer number (6050109991).

Almost surely, 212100219981 is an apocalyptic number.

It is an amenable number.

12100219981 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100219981 is an equidigital number, since it uses as much as digits as its factorization.

12100219981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 34.

The spelling of 12100219981 in words is "twelve billion, one hundred million, two hundred nineteen thousand, nine hundred eighty-one".