Search a number
-
+
34041201300401 is a prime number
BaseRepresentation
bin1111011110101110101011…
…01101100001001110110001
311110112022021211220101021012
413233113111231201032301
513430212340013103101
6200222151220040305
710112252462565551
oct757272555411661
9143468254811235
1034041201300401
11a934879755509
1239994b5533095
1315cc0c1148579
14859862645161
153e0752e61bbb
hex1ef5d5b613b1

34041201300401 has 2 divisors, whose sum is σ = 34041201300402. Its totient is φ = 34041201300400.

The previous prime is 34041201300397. The next prime is 34041201300413. The reversal of 34041201300401 is 10400310214043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17058560300401 + 16982641000000 = 4130201^2 + 4121000^2 .

It is a cyclic number.

It is not a de Polignac number, because 34041201300401 - 22 = 34041201300397 is a prime.

It is not a weakly prime, because it can be changed into another prime (34041201300461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020600650200 + 17020600650201.

It is an arithmetic number, because the mean of its divisors is an integer number (17020600650201).

Almost surely, 234041201300401 is an apocalyptic number.

It is an amenable number.

34041201300401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34041201300401 is an equidigital number, since it uses as much as digits as its factorization.

34041201300401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34041201300401 its reverse (10400310214043), we get a palindrome (44441511514444).

The spelling of 34041201300401 in words is "thirty-four trillion, forty-one billion, two hundred one million, three hundred thousand, four hundred one".