Search a number
-
+
2105410101 = 317109378739
BaseRepresentation
bin111110101111110…
…0000001000110101
312102201200220200220
41331133200020311
513302441110401
6544530124553
7103113455604
oct17537401065
95381626626
102105410101
119904a3853
124a9120759
132772634c2
1415d897a3b
15c4c85336
hex7d7e0235

2105410101 has 16 divisors (see below), whose sum is σ = 2999620800. Its totient is φ = 1308918528.

The previous prime is 2105410093. The next prime is 2105410127. The reversal of 2105410101 is 1010145012.

It is a happy number.

It is not a de Polignac number, because 2105410101 - 23 = 2105410093 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105410171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183811 + ... + 194928.

It is an arithmetic number, because the mean of its divisors is an integer number (187476300).

Almost surely, 22105410101 is an apocalyptic number.

It is an amenable number.

2105410101 is a deficient number, since it is larger than the sum of its proper divisors (894210699).

2105410101 is a wasteful number, since it uses less digits than its factorization.

2105410101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378868.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2105410101 is about 45884.7480215376. The cubic root of 2105410101 is about 1281.6779144596.

Adding to 2105410101 its reverse (1010145012), we get a palindrome (3115555113).

The spelling of 2105410101 in words is "two billion, one hundred five million, four hundred ten thousand, one hundred one".

Divisors: 1 3 17 51 109 327 1853 5559 378739 1136217 6438563 19315689 41282551 123847653 701803367 2105410101