Search a number
-
+
103303312100 = 22522765337357
BaseRepresentation
bin110000000110101011…
…0110111001011100100
3100212122101101222120022
41200031112313023210
53143031121441400
6115242404254312
710314644444012
oct1401526671344
9325571358508
10103303312100
113a8a10323aa
12180300a1398
139983cb14a1
144ddda5d8b2
152a49243b85
hex180d5b72e4

103303312100 has 36 divisors (see below), whose sum is σ = 224182294644. Its totient is φ = 41318724480.

The previous prime is 103303312087. The next prime is 103303312109. The reversal of 103303312100 is 1213303301.

It can be written as a sum of positive squares in 6 ways, for example, as 36978520804 + 66324791296 = 192298^2 + 257536^2 .

It is not an unprimeable number, because it can be changed into a prime (103303312109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2746622 + ... + 2783978.

Almost surely, 2103303312100 is an apocalyptic number.

103303312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103303312100 is an abundant number, since it is smaller than the sum of its proper divisors (120878982544).

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

103303312100 is a wasteful number, since it uses less digits than its factorization.

103303312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65024 (or 65017 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 103303312100 its reverse (1213303301), we get a palindrome (104516615401).

The spelling of 103303312100 in words is "one hundred three billion, three hundred three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 27653 37357 55306 74714 110612 138265 149428 186785 276530 373570 553060 691325 747140 933925 1382650 1867850 2765300 3735700 1033033121 2066066242 4132132484 5165165605 10330331210 20660662420 25825828025 51651656050 103303312100