Search a number
-
+
10204002305 = 572411015829
BaseRepresentation
bin10011000000011010…
…01011100000000001
3222100010122000200022
421200031023200001
5131344211033210
64404311103225
7510602405600
oct114015134001
928303560608
1010204002305
114366990a62
121b89371b15
13c680463b3
146cb2a7a37
153eac58155
hex26034b801

10204002305 has 24 divisors (see below), whose sum is σ = 14591382120. Its totient is φ = 6826364160.

The previous prime is 10204002301. The next prime is 10204002317. The reversal of 10204002305 is 50320040201.

It can be written as a sum of positive squares in 4 ways, for example, as 32069569 + 10171932736 = 5663^2 + 100856^2 .

It is not a de Polignac number, because 10204002305 - 22 = 10204002301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10204002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497870 + ... + 517959.

It is an arithmetic number, because the mean of its divisors is an integer number (607974255).

Almost surely, 210204002305 is an apocalyptic number.

It is an amenable number.

10204002305 is a deficient number, since it is larger than the sum of its proper divisors (4387379815).

10204002305 is a wasteful number, since it uses less digits than its factorization.

10204002305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015889 (or 1015882 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10204002305 its reverse (50320040201), we get a palindrome (60524042506).

The spelling of 10204002305 in words is "ten billion, two hundred four million, two thousand, three hundred five".

Divisors: 1 5 7 35 41 49 205 245 287 1435 2009 10045 1015829 5079145 7110803 35554015 41648989 49775621 208244945 248878105 291542923 1457714615 2040800461 10204002305