Search a number
-
+
10050313 = 713179617
BaseRepresentation
bin100110010101…
…101100001001
3200220121102211
4212111230021
510033102223
6555225121
7151266130
oct46255411
920817384
1010050313
115744a49
1234481a1
13210b740
141498917
15d37d0d
hex995b09

10050313 has 16 divisors (see below), whose sum is σ = 12458880. Its totient is φ = 7894656.

The previous prime is 10050283. The next prime is 10050317. The reversal of 10050313 is 31305001.

It is not a de Polignac number, because 10050313 - 29 = 10049801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10050293 and 10050302.

It is not an unprimeable number, because it can be changed into a prime (10050317) 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 15 ways as a sum of consecutive naturals, for example, 15981 + ... + 16597.

It is an arithmetic number, because the mean of its divisors is an integer number (778680).

Almost surely, 210050313 is an apocalyptic number.

10050313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10050313 is a deficient number, since it is larger than the sum of its proper divisors (2408567).

10050313 is a wasteful number, since it uses less digits than its factorization.

10050313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 10050313 is about 3170.2228628284. Note that the first 3 decimals coincide. The cubic root of 10050313 is about 215.8041849630.

Adding to 10050313 its reverse (31305001), we get a palindrome (41355314).

The spelling of 10050313 in words is "ten million, fifty thousand, three hundred thirteen".

Divisors: 1 7 13 91 179 617 1253 2327 4319 8021 16289 56147 110443 773101 1435759 10050313