Search a number
-
+
10113201113 = 145323572953
BaseRepresentation
bin10010110101100101…
…10011001111011001
3222002210202211212012
421122302303033121
5131202434413423
64351304555305
7505420535231
oct113262631731
928083684765
1010113201113
11431a702754
121b62a82b35
13c522a3892
146bd1cccc1
153e2cbe078
hex25acb33d9

10113201113 has 8 divisors (see below), whose sum is σ = 10127883528. Its totient is φ = 10098532224.

The previous prime is 10113201107. The next prime is 10113201173. The reversal of 10113201113 is 31110231101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4239051664 + 5874149449 = 65108^2 + 76643^2 .

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 10113201113 - 28 = 10113200857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3423245 + ... + 3426197.

It is an arithmetic number, because the mean of its divisors is an integer number (1265985441).

Almost surely, 210113201113 is an apocalyptic number.

It is an amenable number.

10113201113 is a deficient number, since it is larger than the sum of its proper divisors (14682415).

10113201113 is a wasteful number, since it uses less digits than its factorization.

10113201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10113201113 its reverse (31110231101), we get a palindrome (41223432214).

The spelling of 10113201113 in words is "ten billion, one hundred thirteen million, two hundred one thousand, one hundred thirteen".

Divisors: 1 1453 2357 2953 3424721 4290709 6960221 10113201113