Search a number
-
+
10204461100369 is a prime number
BaseRepresentation
bin1001010001111110100101…
…0001110110110101010001
31100010112111102212022120101
42110133221101312311101
52314142214020202434
633411510440012401
72102151026125654
oct224375121666521
940115442768511
1010204461100369
113284762296a28
121189839461101
13590379781453
14273c818b189b
1512a694d6eb14
hex947e9476d51

10204461100369 has 2 divisors, whose sum is σ = 10204461100370. Its totient is φ = 10204461100368.

The previous prime is 10204461100331. The next prime is 10204461100451. The reversal of 10204461100369 is 96300116440201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8544589610769 + 1659871489600 = 2923113^2 + 1288360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10204461100369 is a prime.

It is a super-2 number, since 2×102044611003692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10204461106369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102230550184 + 5102230550185.

It is an arithmetic number, because the mean of its divisors is an integer number (5102230550185).

Almost surely, 210204461100369 is an apocalyptic number.

It is an amenable number.

10204461100369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204461100369 is an equidigital number, since it uses as much as digits as its factorization.

10204461100369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 10204461100369 in words is "ten trillion, two hundred four billion, four hundred sixty-one million, one hundred thousand, three hundred sixty-nine".