Search a number
-
+
10224410131 = 131958137121
BaseRepresentation
bin10011000010110110…
…00001111000010011
3222101120000211221201
421201123001320103
5131414422111011
64410320332031
7511241023615
oct114133017023
928346024851
1010224410131
11437745a731
121b94174017
13c6c340330
146cdc9adb5
153ec939cc1
hex2616c1e13

10224410131 has 16 divisors (see below), whose sum is σ = 11594046240. Its totient is φ = 8938391040.

The previous prime is 10224410099. The next prime is 10224410159. The reversal of 10224410131 is 13101442201.

It is a cyclic number.

It is not a de Polignac number, because 10224410131 - 25 = 10224410099 is a prime.

It is a super-2 number, since 2×102244101312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10224410099 and 10224410108.

It is not an unprimeable number, because it can be changed into a prime (10224410191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432251 + ... + 1439371.

It is an arithmetic number, because the mean of its divisors is an integer number (724627890).

Almost surely, 210224410131 is an apocalyptic number.

10224410131 is a deficient number, since it is larger than the sum of its proper divisors (1369636109).

10224410131 is a wasteful number, since it uses less digits than its factorization.

10224410131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10224410131 its reverse (13101442201), we get a palindrome (23325852332).

The spelling of 10224410131 in words is "ten billion, two hundred twenty-four million, four hundred ten thousand, one hundred thirty-one".

Divisors: 1 13 19 247 5813 7121 75569 92573 110447 135299 1435811 1758887 41394373 538126849 786493087 10224410131