Search a number
-
+
300230103011100 = 223521254297978753
BaseRepresentation
bin100010001000011101100010…
…0101001000000111100011100
31110101000201101002100200101120
41010100323010221000330130
5303322432222332323400
62542311445534210540
7120144623556005613
oct10420730451007434
91411021332320346
10300230103011100
1187731965192499
122980a732053a50
13cb6a7672452a2
14541d3008d887a
1524a9a199a8ca0
hex1110ec4a40f1c

300230103011100 has 72 divisors (see below), whose sum is σ = 868672799142960. Its totient is φ = 80060712468480.

The previous prime is 300230103011093. The next prime is 300230103011101. The reversal of 300230103011100 is 1110301032003.

It is a super-2 number, since 2×3002301030111002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300230103011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300230103011101) 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 23 ways as a sum of consecutive naturals, for example, 33639324 + ... + 41618076.

Almost surely, 2300230103011100 is an apocalyptic number.

300230103011100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300230103011100 is an abundant number, since it is smaller than the sum of its proper divisors (568442696131860).

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

300230103011100 is a wasteful number, since it uses less digits than its factorization.

300230103011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104199 (or 8104192 counting only the distinct ones).

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

Adding to 300230103011100 its reverse (1110301032003), we get a palindrome (301340404043103).

The spelling of 300230103011100 in words is "three hundred trillion, two hundred thirty billion, one hundred three million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 125429 250858 376287 501716 627145 752574 1254290 1505148 1881435 2508580 3135725 3762870 6271450 7525740 7978753 9407175 12542900 15957506 18814350 23936259 31915012 37628700 39893765 47872518 79787530 95745036 119681295 159575060 199468825 239362590 398937650 478725180 598406475 797875300 1196812950 2393625900 1000767010037 2001534020074 3002301030111 4003068040148 5003835050185 6004602060222 10007670100370 12009204120444 15011505150555 20015340200740 25019175250925 30023010301110 50038350501850 60046020602220 75057525752775 100076701003700 150115051505550 300230103011100