Search a number
-
+
30133212100 = 2252312313561
BaseRepresentation
bin11100000100000101…
…000101001111000100
32212210000221210000121
4130010011011033010
5443203100241400
621502031151324
72114505035215
oct340405051704
985700853017
1030133212100
111186345a282
125a0b675544
132ac2b66924
14165c00340c
15bb568e21a
hex7041453c4

30133212100 has 54 divisors (see below), whose sum is σ = 67566653322. Its totient is φ = 11664432000.

The previous prime is 30133212077. The next prime is 30133212101. The reversal of 30133212100 is 121233103.

It can be written as a sum of positive squares in 3 ways, for example, as 17774656 + 30115437444 = 4216^2 + 173538^2 .

It is not an unprimeable number, because it can be changed into a prime (30133212101) 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 17 ways as a sum of consecutive naturals, for example, 60681 + ... + 252880.

Almost surely, 230133212100 is an apocalyptic number.

It is an amenable number.

30133212100 is an abundant number, since it is smaller than the sum of its proper divisors (37433441222).

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

30133212100 is a wasteful number, since it uses less digits than its factorization.

30133212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313637 (or 313599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30133212100 its reverse (121233103), we get a palindrome (30254445203).

The spelling of 30133212100 in words is "thirty billion, one hundred thirty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 9610 19220 24025 48050 96100 313561 627122 1254244 1567805 3135610 6271220 7839025 9720391 15678050 19440782 31356100 38881564 48601955 97203910 194407820 243009775 301332121 486019550 602664242 972039100 1205328484 1506660605 3013321210 6026642420 7533303025 15066606050 30133212100