Search a number
-
+
10113675 = 35211132341
BaseRepresentation
bin100110100101…
…001010001011
3201000211100120
4212211022023
510042114200
61000434323
7151651635
oct46451213
921024316
1010113675
115788610
1234789a3
132131530
1414b3a55
15d4b9a0
hex9a528b

10113675 has 96 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 4224000.

The previous prime is 10113667. The next prime is 10113709. The reversal of 10113675 is 57631101.

It is not a de Polignac number, because 10113675 - 23 = 10113667 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 246655 + ... + 246695.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 210113675 is an apocalyptic number.

10113675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10113675 is an abundant number, since it is smaller than the sum of its proper divisors (10884981).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10113675 is a wasteful number, since it uses less digits than its factorization.

10113675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10113675 is about 3180.2004653795. The cubic root of 10113675 is about 216.2567463119.

Adding to 10113675 its reverse (57631101), we get a palindrome (67744776).

The spelling of 10113675 in words is "ten million, one hundred thirteen thousand, six hundred seventy-five".

Divisors: 1 3 5 11 13 15 23 25 33 39 41 55 65 69 75 115 123 143 165 195 205 253 275 299 325 345 429 451 533 575 615 715 759 825 897 943 975 1025 1265 1353 1495 1599 1725 2145 2255 2665 2829 3075 3289 3575 3795 4485 4715 5863 6325 6765 7475 7995 9867 10373 10725 11275 12259 13325 14145 16445 17589 18975 22425 23575 29315 31119 33825 36777 39975 49335 51865 61295 70725 82225 87945 134849 146575 155595 183885 246675 259325 306475 404547 439725 674245 777975 919425 2022735 3371225 10113675