Search a number
-
+
10205302315 = 5136710322751
BaseRepresentation
bin10011000000100100…
…01000111000101011
3222100020002001221211
421200102020320223
5131400024133230
64404355013551
7510616431655
oct114022107053
928306061854
1010205302315
11436769974a
121b8989a2b7
13c683b0030
146cb5256d5
153eae1342a
hex260488e2b

10205302315 has 32 divisors (see below), whose sum is σ = 13515780096. Its totient is φ = 7351344000.

The previous prime is 10205302309. The next prime is 10205302321. The reversal of 10205302315 is 51320350201.

It is an interprime number because it is at equal distance from previous prime (10205302309) and next prime (10205302321).

It is not a de Polignac number, because 10205302315 - 211 = 10205300267 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437190 + ... + 459940.

It is an arithmetic number, because the mean of its divisors is an integer number (422368128).

Almost surely, 210205302315 is an apocalyptic number.

10205302315 is a deficient number, since it is larger than the sum of its proper divisors (3310477781).

10205302315 is a wasteful number, since it uses less digits than its factorization.

10205302315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22939.

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 10205302315 its reverse (51320350201), we get a palindrome (61525652516).

The spelling of 10205302315 in words is "ten billion, two hundred five million, three hundred two thousand, three hundred fifteen".

Divisors: 1 5 13 65 67 103 335 515 871 1339 4355 6695 6901 22751 34505 89713 113755 295763 448565 1478815 1524317 2343353 7621585 11716765 19816121 30463589 99080605 152317945 157004651 785023255 2041060463 10205302315