Search a number
-
+
100323030033 = 3323712275363
BaseRepresentation
bin101110101101110110…
…1111111010000010001
3100120221200110222011000
41131123231333100101
53120430143430113
6114030542412213
710151045454012
oct1353355772021
9316850428130
10100323030033
113960180a376
1217539b91069
1395ca711b85
144bd9d0b009
152922797373
hex175bb7f411

100323030033 has 32 divisors (see below), whose sum is σ = 157273159680. Its totient is φ = 63073034640.

The previous prime is 100323030007. The next prime is 100323030037. The reversal of 100323030033 is 330030323001.

100323030033 is a `hidden beast` number, since 10 + 0 + 323 + 0 + 300 + 33 = 666.

It is not a de Polignac number, because 100323030033 - 236 = 31603553297 is a prime.

It is a super-3 number, since 3×1003230300333 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100323029988 and 100323030015.

It is not an unprimeable number, because it can be changed into a prime (100323030037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093591 + ... + 1181772.

It is an arithmetic number, because the mean of its divisors is an integer number (4914786240).

Almost surely, 2100323030033 is an apocalyptic number.

It is an amenable number.

100323030033 is a deficient number, since it is larger than the sum of its proper divisors (56950129647).

100323030033 is a wasteful number, since it uses less digits than its factorization.

100323030033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275466 (or 2275460 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 100323030033 its reverse (330030323001), we get a palindrome (430353353034).

The spelling of 100323030033 in words is "one hundred billion, three hundred twenty-three million, thirty thousand, thirty-three".

Divisors: 1 3 9 23 27 69 71 207 213 621 639 1633 1917 4899 14697 44091 2275363 6826089 20478267 52333349 61434801 157000047 161550773 471000141 484652319 1413000423 1453956957 3715667779 4361870871 11147003337 33441010011 100323030033