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30133488100 = 2252173592
BaseRepresentation
bin11100000100000110…
…001000100111100100
32212210001110210121211
4130010012020213210
5443203133104400
621502041121204
72114510264662
oct340406104744
985701423554
1030133488100
1111863628681
125a0b789204
132ac2c32441
14165c075c32
15bb56e5dba
hex7041889e4

30133488100 has 27 divisors (see below), whose sum is σ = 65393436297. Its totient is φ = 12052700880.

The previous prime is 30133488079. The next prime is 30133488101. The reversal of 30133488100 is 188433103.

The square root of 30133488100 is 173590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10848055716 + 19285432384 = 104154^2 + 138872^2 .

It is a super-2 number, since 2×301334881002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30133488101) 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 8 ways as a sum of consecutive naturals, for example, 1727221 + ... + 1744579.

Almost surely, 230133488100 is an apocalyptic number.

30133488100 is the 173590-th square number.

It is an amenable number.

30133488100 is an abundant number, since it is smaller than the sum of its proper divisors (35259948197).

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

30133488100 is an frugal number, since it uses more digits than its factorization.

30133488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34732 (or 17366 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 30133488100 in words is "thirty billion, one hundred thirty-three million, four hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17359 34718 69436 86795 173590 347180 433975 867950 1735900 301334881 602669762 1205339524 1506674405 3013348810 6026697620 7533372025 15066744050 30133488100