Search a number
-
+
10220204513 = 70922696353
BaseRepresentation
bin10011000010010101…
…11111000111100001
3222101021010011221002
421201022333013201
5131412333021023
64410050241345
7511160206421
oct114112770741
928337104832
1010220204513
114375047a12
121b92886255
13c6b4c9cbc
146cd4c4481
153ec3a8b28
hex2612bf1e1

10220204513 has 8 divisors (see below), whose sum is σ = 10240741800. Its totient is φ = 10199685888.

The previous prime is 10220204509. The next prime is 10220204549. The reversal of 10220204513 is 31540202201.

10220204513 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 151486864 + 10068717649 = 12308^2 + 100343^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10220204513 - 22 = 10220204509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10220204503) 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 7 ways as a sum of consecutive naturals, for example, 1605545 + ... + 1611897.

It is an arithmetic number, because the mean of its divisors is an integer number (1280092725).

Almost surely, 210220204513 is an apocalyptic number.

It is an amenable number.

10220204513 is a deficient number, since it is larger than the sum of its proper divisors (20537287).

10220204513 is an equidigital number, since it uses as much as digits as its factorization.

10220204513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10220204513 its reverse (31540202201), we get a palindrome (41760406714).

The spelling of 10220204513 in words is "ten billion, two hundred twenty million, two hundred four thousand, five hundred thirteen".

Divisors: 1 709 2269 6353 1608721 4504277 14414957 10220204513