Search a number
-
+
212100010117 is a prime number
BaseRepresentation
bin1100010110001000100…
…1010101000010000101
3202021110121120212221021
43011202021111002011
511433340100310432
6241234251151141
721216015224302
oct3054211250205
9667417525837
10212100010117
1181a50a20966
1235133a454b1
13170020cbc88
14a3a10d40a9
1557b589c697
hex3162255085

212100010117 has 2 divisors, whose sum is σ = 212100010118. Its totient is φ = 212100010116.

The previous prime is 212100010103. The next prime is 212100010121. The reversal of 212100010117 is 711010001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191957020641 + 20142989476 = 438129^2 + 141926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212100010117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212100010117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100010127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050005058 + 106050005059.

It is an arithmetic number, because the mean of its divisors is an integer number (106050005059).

Almost surely, 2212100010117 is an apocalyptic number.

It is an amenable number.

212100010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100010117 is an equidigital number, since it uses as much as digits as its factorization.

212100010117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 212100010117 its reverse (711010001212), we get a palindrome (923110011329).

The spelling of 212100010117 in words is "two hundred twelve billion, one hundred million, ten thousand, one hundred seventeen".