Search a number
-
+
13801301 is a prime number
BaseRepresentation
bin110100101001…
…011101010101
3221222011211022
4310221131111
512013120201
61211450525
7225211013
oct64513525
927864738
1013801301
117877138
124756a45
132b22b67
141b938b3
15132941b
hexd29755

13801301 has 2 divisors, whose sum is σ = 13801302. Its totient is φ = 13801300.

The previous prime is 13801283. The next prime is 13801309. The reversal of 13801301 is 10310831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11062276 + 2739025 = 3326^2 + 1655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13801301 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13801301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13801309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6900650 + 6900651.

It is an arithmetic number, because the mean of its divisors is an integer number (6900651).

Almost surely, 213801301 is an apocalyptic number.

It is an amenable number.

13801301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13801301 is an equidigital number, since it uses as much as digits as its factorization.

13801301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 13801301 is about 3715.0102287881. The cubic root of 13801301 is about 239.8685680830.

The spelling of 13801301 in words is "thirteen million, eight hundred one thousand, three hundred one".