Search a number
-
+
103033210100 = 22521030332101
BaseRepresentation
bin101111111110101000…
…0100000010011110100
3100211221120011101021112
41133331100200103310
53142003000210400
6115155515134152
710305154556432
oct1377520402364
9324846141245
10103033210100
113a772619807
1217b75744358
139940051112
144db5c2dd52
152a3068d835
hex17fd4204f4

103033210100 has 18 divisors (see below), whose sum is σ = 223582066134. Its totient is φ = 41213284000.

The previous prime is 103033210097. The next prime is 103033210117. The reversal of 103033210100 is 1012330301.

It can be written as a sum of positive squares in 3 ways, for example, as 34794187024 + 68239023076 = 186532^2 + 261226^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 515165951 + ... + 515166150.

Almost surely, 2103033210100 is an apocalyptic number.

103033210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103033210100 is an abundant number, since it is smaller than the sum of its proper divisors (120548856034).

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

103033210100 is a wasteful number, since it uses less digits than its factorization.

103033210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030332115 (or 1030332108 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103033210100 its reverse (1012330301), we get a palindrome (104045540401).

The spelling of 103033210100 in words is "one hundred three billion, thirty-three million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1030332101 2060664202 4121328404 5151660505 10303321010 20606642020 25758302525 51516605050 103033210100