Search a number
-
+
103821121 is a prime number
BaseRepresentation
bin1100011000000…
…10111101000001
321020100122210201
412030002331001
5203034233441
614145125201
72400315325
oct614027501
9236318721
10103821121
1153671388
122a929801
1318680b21
14db07985
1591abc31
hex6302f41

103821121 has 2 divisors, whose sum is σ = 103821122. Its totient is φ = 103821120.

The previous prime is 103821119. The next prime is 103821169. The reversal of 103821121 is 121128301.

103821121 = T8318 + T8319 + T8320.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78570496 + 25250625 = 8864^2 + 5025^2 .

It is a cyclic number.

It is not a de Polignac number, because 103821121 - 21 = 103821119 is a prime.

Together with 103821119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103821181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51910560 + 51910561.

It is an arithmetic number, because the mean of its divisors is an integer number (51910561).

Almost surely, 2103821121 is an apocalyptic number.

103821121 is the 8320-th centered triangular number.

It is an amenable number.

103821121 is a deficient number, since it is larger than the sum of its proper divisors (1).

103821121 is an equidigital number, since it uses as much as digits as its factorization.

103821121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 103821121 is about 10189.2649882119. The cubic root of 103821121 is about 469.9971646124.

Adding to 103821121 its reverse (121128301), we get a palindrome (224949422).

The spelling of 103821121 in words is "one hundred three million, eight hundred twenty-one thousand, one hundred twenty-one".