Search a number
-
+
10113120303 = 31113157150151
BaseRepresentation
bin10010110101100100…
…11111100000101111
3222002210121202000020
421122302133200233
5131202424322203
64351303133223
7505420050516
oct113262374057
928083552006
1010113120303
11431a657a70
121b62a44213
13c52275b70
146bd1ab67d
153e2ca5153
hex25ac9f82f

10113120303 has 32 divisors (see below), whose sum is σ = 15942538752. Its totient is φ = 5621616000.

The previous prime is 10113120287. The next prime is 10113120343. The reversal of 10113120303 is 30302131101.

It is not a de Polignac number, because 10113120303 - 24 = 10113120287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113120343) 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 31 ways as a sum of consecutive naturals, for example, 7723 + ... + 142428.

It is an arithmetic number, because the mean of its divisors is an integer number (498204336).

Almost surely, 210113120303 is an apocalyptic number.

10113120303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10113120303 is a deficient number, since it is larger than the sum of its proper divisors (5829418449).

10113120303 is a wasteful number, since it uses less digits than its factorization.

10113120303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150335.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10113120303 its reverse (30302131101), we get a palindrome (40415251404).

The spelling of 10113120303 in words is "ten billion, one hundred thirteen million, one hundred twenty thousand, three hundred three".

Divisors: 1 3 11 13 33 39 143 157 429 471 1727 2041 5181 6123 22451 67353 150151 450453 1651661 1951963 4954983 5855889 21471593 23573707 64414779 70721121 259310777 306458191 777932331 919374573 3371040101 10113120303