Search a number
-
+
230100100 = 225217135353
BaseRepresentation
bin11011011011100…
…00110010000100
3121000222021222221
431231300302010
5432401200400
634455502124
75462550526
oct1555606204
9530867887
10230100100
1110898167a
1265087944
1338895a09
14227b9a16
1515302c1a
hexdb70c84

230100100 has 36 divisors (see below), whose sum is σ = 528692724. Its totient is φ = 86625280.

The previous prime is 230100071. The next prime is 230100103. The reversal of 230100100 is 1001032.

It can be written as a sum of positive squares in 6 ways, for example, as 2452356 + 227647744 = 1566^2 + 15088^2 .

It is not an unprimeable number, because it can be changed into a prime (230100103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65977 + ... + 69376.

It is an arithmetic number, because the mean of its divisors is an integer number (14685909).

Almost surely, 2230100100 is an apocalyptic number.

230100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230100100 is an abundant number, since it is smaller than the sum of its proper divisors (298592624).

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

230100100 is a wasteful number, since it uses less digits than its factorization.

230100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135384 (or 135377 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 230100100 is about 15169.0507283745. The cubic root of 230100100 is about 612.7814394515.

Adding to 230100100 its reverse (1001032), we get a palindrome (231101132).

The spelling of 230100100 in words is "two hundred thirty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 135353 270706 541412 676765 1353530 2301001 2707060 3383825 4602002 6767650 9204004 11505005 13535300 23010010 46020020 57525025 115050050 230100100