Search a number
-
+
4121133314101 is a prime number
BaseRepresentation
bin111011111110000110101…
…011111111000000110101
3112120222100212101122002221
4323332012223333000311
51020010040112022401
612433120021202341
7603512345122216
oct73760653770065
915528325348087
104121133314101
111349843355411
125668532603b1
1323b80ca2905b
1410366cdb740d
15723006c77a1
hex3bf86aff035

4121133314101 has 2 divisors, whose sum is σ = 4121133314102. Its totient is φ = 4121133314100.

The previous prime is 4121133314093. The next prime is 4121133314119. The reversal of 4121133314101 is 1014133311214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3767477118001 + 353656196100 = 1940999^2 + 594690^2 .

It is a cyclic number.

It is not a de Polignac number, because 4121133314101 - 23 = 4121133314093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4121133314171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2060566657050 + 2060566657051.

It is an arithmetic number, because the mean of its divisors is an integer number (2060566657051).

Almost surely, 24121133314101 is an apocalyptic number.

It is an amenable number.

4121133314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4121133314101 is an equidigital number, since it uses as much as digits as its factorization.

4121133314101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 4121133314101 its reverse (1014133311214), we get a palindrome (5135266625315).

The spelling of 4121133314101 in words is "four trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred fourteen thousand, one hundred one".