Search a number
-
+
10041200101 is a prime number
BaseRepresentation
bin10010101101000000…
…01000110111100101
3221220210021211001001
421112200020313211
5131031021400401
64340213433301
7503554535602
oct112640106745
927823254031
1010041200101
114292aa5289
121b4293b831
13c403b432a
146b38096a9
153db7ea601
hex256808de5

10041200101 has 2 divisors, whose sum is σ = 10041200102. Its totient is φ = 10041200100.

The previous prime is 10041200021. The next prime is 10041200107. The reversal of 10041200101 is 10100214001.

10041200101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9452895076 + 588305025 = 97226^2 + 24255^2 .

It is an emirp because it is prime and its reverse (10100214001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10041200101 - 29 = 10041199589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041200107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020600050 + 5020600051.

It is an arithmetic number, because the mean of its divisors is an integer number (5020600051).

Almost surely, 210041200101 is an apocalyptic number.

It is an amenable number.

10041200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041200101 is an equidigital number, since it uses as much as digits as its factorization.

10041200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10041200101 its reverse (10100214001), we get a palindrome (20141414102).

The spelling of 10041200101 in words is "ten billion, forty-one million, two hundred thousand, one hundred one".