Search a number
-
+
4232100105 = 325172325421
BaseRepresentation
bin1111110001000000…
…1011100100001001
3101220221102221221100
43330100023210021
532131404200410
61535540332013
7206606154162
oct37420134411
911827387840
104232100105
111881a014a2
129a13a4009
13525a3785c
142c20d0769
1519b8208c0
hexfc40b909

4232100105 has 36 divisors (see below), whose sum is σ = 7792555212. Its totient is φ = 2124341760.

The previous prime is 4232100079. The next prime is 4232100107. The reversal of 4232100105 is 5010012324.

It can be written as a sum of positive squares in 6 ways, for example, as 235837449 + 3996262656 = 15357^2 + 63216^2 .

It is not a de Polignac number, because 4232100105 - 29 = 4232099593 is a prime.

It is a super-2 number, since 2×42321001052 = 35821342597482022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4232100107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149706 + ... + 175715.

It is an arithmetic number, because the mean of its divisors is an integer number (216459867).

Almost surely, 24232100105 is an apocalyptic number.

4232100105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4232100105 is a deficient number, since it is larger than the sum of its proper divisors (3560455107).

4232100105 is a wasteful number, since it uses less digits than its factorization.

4232100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325466 (or 325446 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4232100105 is about 65054.5932659639. The cubic root of 4232100105 is about 1617.5286334531.

Adding to 4232100105 its reverse (5010012324), we get a palindrome (9242112429).

The spelling of 4232100105 in words is "four billion, two hundred thirty-two million, one hundred thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 289 765 867 1445 2601 4335 13005 325421 976263 1627105 2928789 4881315 5532157 14643945 16596471 27660785 49789413 82982355 94046669 248947065 282140007 470233345 846420021 1410700035 4232100105