Search a number
-
+
10205663041 = 72396100217
BaseRepresentation
bin10011000000100111…
…00000111101000001
3222100020202101210001
421200103200331001
5131400122204131
64404410440001
7510622463440
oct114023407501
928306671701
1010205663041
114367915772
121b89a33001
13c684a8292
146cb5bad57
153eae85261
hex2604e0f41

10205663041 has 8 divisors (see below), whose sum is σ = 11712418560. Its totient is φ = 8711108448.

The previous prime is 10205663033. The next prime is 10205663087. The reversal of 10205663041 is 14036650201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10205663041 - 23 = 10205663033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205661041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3048436 + ... + 3051781.

It is an arithmetic number, because the mean of its divisors is an integer number (1464052320).

Almost surely, 210205663041 is an apocalyptic number.

It is an amenable number.

10205663041 is a deficient number, since it is larger than the sum of its proper divisors (1506755519).

10205663041 is an equidigital number, since it uses as much as digits as its factorization.

10205663041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100463.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10205663041 in words is "ten billion, two hundred five million, six hundred sixty-three thousand, forty-one".

Divisors: 1 7 239 1673 6100217 42701519 1457951863 10205663041