Search a number
-
+
100104334037441 is a prime number
BaseRepresentation
bin10110110000101101011011…
…010001010101000111000001
3111010102212210011012210012122
4112300231123101111013001
5101110102134003144231
6552523143551134025
730041204500626356
oct2660553321250701
9433385704183178
10100104334037441
11299950119387a8
12b288a82b14315
1343b1a4b831786
141aa110b6da62d
15b88e2426377b
hex5b0b5b4551c1

100104334037441 has 2 divisors, whose sum is σ = 100104334037442. Its totient is φ = 100104334037440.

The previous prime is 100104334037437. The next prime is 100104334037447. The reversal of 100104334037441 is 144730433401001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95995317198400 + 4109016839041 = 9797720^2 + 2027071^2 .

It is a cyclic number.

It is not a de Polignac number, because 100104334037441 - 22 = 100104334037437 is a prime.

It is not a weakly prime, because it can be changed into another prime (100104334037447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052167018720 + 50052167018721.

It is an arithmetic number, because the mean of its divisors is an integer number (50052167018721).

Almost surely, 2100104334037441 is an apocalyptic number.

It is an amenable number.

100104334037441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100104334037441 is an equidigital number, since it uses as much as digits as its factorization.

100104334037441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 35.

Adding to 100104334037441 its reverse (144730433401001), we get a palindrome (244834767438442).

The spelling of 100104334037441 in words is "one hundred trillion, one hundred four billion, three hundred thirty-four million, thirty-seven thousand, four hundred forty-one".