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30133132020 = 22325167406289
BaseRepresentation
bin11100000100000100…
…110001101011110100
32212210000210201011200
4130010010301223310
5443203040211040
621502025332500
72114504252565
oct340404615364
985700721150
1030133132020
11118634050a2
125a0b637130
132ac2b39344
14165bdc216c
15bb5675630
hex704131af4

30133132020 has 36 divisors (see below), whose sum is σ = 91403834340. Its totient is φ = 8035501824.

The previous prime is 30133131991. The next prime is 30133132021. The reversal of 30133132020 is 2023133103.

30133132020 is a `hidden beast` number, since 301 + 331 + 32 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19769484816 + 10363647204 = 140604^2 + 101802^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30133131984 and 30133132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133132021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83702965 + ... + 83703324.

Almost surely, 230133132020 is an apocalyptic number.

30133132020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30133132020 is an abundant number, since it is smaller than the sum of its proper divisors (61270702320).

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

30133132020 is a wasteful number, since it uses less digits than its factorization.

30133132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167406304 (or 167406299 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30133132020 its reverse (2023133103), we get a palindrome (32156265123).

The spelling of 30133132020 in words is "thirty billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 167406289 334812578 502218867 669625156 837031445 1004437734 1506656601 1674062890 2008875468 2511094335 3013313202 3348125780 5022188670 6026626404 7533283005 10044377340 15066566010 30133132020