Search a number
-
+
2105410311 = 321941300301
BaseRepresentation
bin111110101111110…
…0000001100000111
312102201200220222200
41331133200030013
513302441112221
6544530125543
7103113456324
oct17537401407
95381626880
102105410311
119904a3a24
124a91208b3
13277263624
1415d897b4b
15c4c85426
hex7d7e0307

2105410311 has 24 divisors (see below), whose sum is σ = 3279297840. Its totient is φ = 1297296000.

The previous prime is 2105410309. The next prime is 2105410361. The reversal of 2105410311 is 1130145012.

It is not a de Polignac number, because 2105410311 - 21 = 2105410309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105410361) 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 23 ways as a sum of consecutive naturals, for example, 143140 + ... + 157161.

It is an arithmetic number, because the mean of its divisors is an integer number (136637410).

Almost surely, 22105410311 is an apocalyptic number.

2105410311 is a deficient number, since it is larger than the sum of its proper divisors (1173887529).

2105410311 is a wasteful number, since it uses less digits than its factorization.

2105410311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300367 (or 300364 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2105410311 is about 45884.7503098796. The cubic root of 2105410311 is about 1281.6779570724.

Adding to 2105410311 its reverse (1130145012), we get a palindrome (3235555323).

The spelling of 2105410311 in words is "two billion, one hundred five million, four hundred ten thousand, three hundred eleven".

Divisors: 1 3 9 19 41 57 123 171 369 779 2337 7011 300301 900903 2702709 5705719 12312341 17117157 36937023 51351471 110811069 233934479 701803437 2105410311