Search a number
-
+
100202201343001 is a prime number
BaseRepresentation
bin10110110010001000100100…
…100111011110010000011001
3111010210020101200211000200101
4112302020210213132100121
5101113203102020434001
6553040131131135401
730051240650201002
oct2662104447362031
9433706350730611
10100202201343001
1129a22573434a0a
12b2a3a365a4561
1343bb047546b34
141aa5b534001a9
15b8b751128a01
hex5b22249de419

100202201343001 has 2 divisors, whose sum is σ = 100202201343002. Its totient is φ = 100202201343000.

The previous prime is 100202201342989. The next prime is 100202201343061. The reversal of 100202201343001 is 100343102202001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53592633848601 + 46609567494400 = 7320699^2 + 6827120^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202201343001 - 221 = 100202199245849 is a prime.

It is a super-2 number, since 2×1002022013430012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100202201343001.

It is not a weakly prime, because it can be changed into another prime (100202201343061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101100671500 + 50101100671501.

It is an arithmetic number, because the mean of its divisors is an integer number (50101100671501).

Almost surely, 2100202201343001 is an apocalyptic number.

It is an amenable number.

100202201343001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202201343001 is an equidigital number, since it uses as much as digits as its factorization.

100202201343001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100202201343001 its reverse (100343102202001), we get a palindrome (200545303545002).

The spelling of 100202201343001 in words is "one hundred trillion, two hundred two billion, two hundred one million, three hundred forty-three thousand, one".