Search a number
-
+
13420554241 is a prime number
BaseRepresentation
bin11000111111110110…
…10110100000000001
31021122022010210102111
430133323112200001
5204441130213431
610055413015321
7653400554203
oct143773264001
937568123374
1013420554241
11576760a046
122726624541
13135b55ba73
14914560773
155383257b1
hex31fed6801

13420554241 has 2 divisors, whose sum is σ = 13420554242. Its totient is φ = 13420554240.

The previous prime is 13420554223. The next prime is 13420554247. The reversal of 13420554241 is 14245502431.

13420554241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10285002225 + 3135552016 = 101415^2 + 55996^2 .

It is a cyclic number.

It is not a de Polignac number, because 13420554241 - 215 = 13420521473 is a prime.

It is a super-2 number, since 2×134205542412 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13420554247) 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, 6710277120 + 6710277121.

It is an arithmetic number, because the mean of its divisors is an integer number (6710277121).

Almost surely, 213420554241 is an apocalyptic number.

It is an amenable number.

13420554241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13420554241 is an equidigital number, since it uses as much as digits as its factorization.

13420554241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 13420554241 in words is "thirteen billion, four hundred twenty million, five hundred fifty-four thousand, two hundred forty-one".