Search a number
-
+
100506032241 = 3434793162553
BaseRepresentation
bin101110110011010100…
…0000101100001110001
3100121102102211102222120
41131212220011201301
53121314021012431
6114101041024453
710155430115106
oct1354650054161
9317372742876
10100506032241
113969604266a
121758b325129
1396295c73c4
144c16346aad
152933895196
hex1766a05871

100506032241 has 16 divisors (see below), whose sum is σ = 137153962176. Its totient is φ = 65431731456.

The previous prime is 100506032239. The next prime is 100506032261. The reversal of 100506032241 is 142230605001.

It is not a de Polignac number, because 100506032241 - 21 = 100506032239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100506032261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537021 + ... + 699573.

It is an arithmetic number, because the mean of its divisors is an integer number (8572122636).

Almost surely, 2100506032241 is an apocalyptic number.

It is an amenable number.

100506032241 is a deficient number, since it is larger than the sum of its proper divisors (36647929935).

100506032241 is a wasteful number, since it uses less digits than its factorization.

100506032241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167392.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100506032241 its reverse (142230605001), we get a palindrome (242736637242).

It can be divided in two parts, 1005060 and 32241, that added together give a palindrome (1037301).

The spelling of 100506032241 in words is "one hundred billion, five hundred six million, thirty-two thousand, two hundred forty-one".

Divisors: 1 3 43 129 4793 14379 162553 206099 487659 618297 6989779 20969337 779116529 2337349587 33502010747 100506032241