Search a number
-
+
10601000101 is a prime number
BaseRepresentation
bin10011101111101111…
…00110110010100101
31000100210122121021101
421313313212302211
5133202324000401
64511532120101
7523463004556
oct116767466245
930323577241
1010601000101
11454aa9630a
12207a306031
13ccc376333
14727cca32d
15420a27101
hex277de6ca5

10601000101 has 2 divisors, whose sum is σ = 10601000102. Its totient is φ = 10601000100.

The previous prime is 10601000023. The next prime is 10601000167. The reversal of 10601000101 is 10100010601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5310619876 + 5290380225 = 72874^2 + 72735^2 .

It is an emirp because it is prime and its reverse (10100010601) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10100010901 and 10901000101.

It is a cyclic number.

It is not a de Polignac number, because 10601000101 - 29 = 10600999589 is a prime.

It is a super-2 number, since 2×106010001012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10601000401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5300500050 + 5300500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5300500051).

Almost surely, 210601000101 is an apocalyptic number.

It is an amenable number.

10601000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10601000101 is an equidigital number, since it uses as much as digits as its factorization.

10601000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10601000101 its reverse (10100010601), we get a palindrome (20701010702).

The spelling of 10601000101 in words is "ten billion, six hundred one million, one hundred one", and thus it is an aban number.