Search a number
-
+
103301010 = 232517107631
BaseRepresentation
bin1100010100000…
…11111110010010
321012101020100100
412022003332102
5202421113020
614130033230
72363021061
oct612037622
9235336310
10103301010
115334663a
122a718816
131852b177
14da101d8
159107a90
hex6283f92

103301010 has 96 divisors (see below), whose sum is σ = 287494272. Its totient is φ = 25643520.

The previous prime is 103300997. The next prime is 103301039. The reversal of 103301010 is 10103301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103300983 and 103301001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163395 + ... + 164025.

It is an arithmetic number, because the mean of its divisors is an integer number (2994732).

Almost surely, 2103301010 is an apocalyptic number.

103301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143747136).

103301010 is an abundant number, since it is smaller than the sum of its proper divisors (184193262).

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

103301010 is a wasteful number, since it uses less digits than its factorization.

103301010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 103301010 is about 10163.7104445178. The cubic root of 103301010 is about 469.2110045975.

Adding to 103301010 its reverse (10103301), we get a palindrome (113404311).

The spelling of 103301010 in words is "one hundred three million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 107 153 170 214 255 306 321 510 535 631 642 765 963 1070 1262 1530 1605 1819 1893 1926 3155 3210 3638 3786 4815 5457 5679 6310 9095 9465 9630 10727 10914 11358 16371 18190 18930 21454 27285 28395 32181 32742 53635 54570 56790 64362 67517 81855 96543 107270 135034 160905 163710 193086 202551 321810 337585 405102 482715 607653 675170 965430 1012755 1147789 1215306 2025510 2295578 3038265 3443367 5738945 6076530 6886734 10330101 11477890 17216835 20660202 34433670 51650505 103301010