Search a number
-
+
254331201120121 is a prime number
BaseRepresentation
bin111001110101000000011000…
…111001011110011101111001
31020100111211021200211011211001
4321311000120321132131321
5231313430244441320441
62300530050230205001
7104366552154105256
oct7165003071363571
91210454250734731
10254331201120121
11740462906a4694
12246371107b3761
13abbb438798528
1446b39a545a42d
151e60b1164e731
hexe75018e5e779

254331201120121 has 2 divisors, whose sum is σ = 254331201120122. Its totient is φ = 254331201120120.

The previous prime is 254331201120119. The next prime is 254331201120221. The reversal of 254331201120121 is 121021102133452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236544738360121 + 17786462760000 = 15380011^2 + 4217400^2 .

It is a cyclic number.

It is not a de Polignac number, because 254331201120121 - 21 = 254331201120119 is a prime.

Together with 254331201120119, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 254331201120121.

It is not a weakly prime, because it can be changed into another prime (254331201120221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127165600560060 + 127165600560061.

It is an arithmetic number, because the mean of its divisors is an integer number (127165600560061).

Almost surely, 2254331201120121 is an apocalyptic number.

It is an amenable number.

254331201120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

254331201120121 is an equidigital number, since it uses as much as digits as its factorization.

254331201120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 254331201120121 its reverse (121021102133452), we get a palindrome (375352303253573).

The spelling of 254331201120121 in words is "two hundred fifty-four trillion, three hundred thirty-one billion, two hundred one million, one hundred twenty thousand, one hundred twenty-one".