Search a number
-
+
30320210272 = 251192812
BaseRepresentation
bin11100001111001110…
…011011000101100000
32220021001211021021211
4130033032123011200
5444043433212042
621532351155504
72122235351332
oct341716330540
986231737254
1030320210272
1111949a71820
125a62215b94
132b2281ac31
141678b9d452
15bc6ccb017
hex70f39b160

30320210272 has 36 divisors (see below), whose sum is σ = 65126559708. Its totient is φ = 13780428800.

The previous prime is 30320210233. The next prime is 30320210273. The reversal of 30320210272 is 27201202303.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320210273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3262272 + ... + 3271552.

It is an arithmetic number, because the mean of its divisors is an integer number (1809071103).

Almost surely, 230320210272 is an apocalyptic number.

30320210272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30320210272 is an abundant number, since it is smaller than the sum of its proper divisors (34806349436).

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

30320210272 is an frugal number, since it uses more digits than its factorization.

30320210272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18583 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

Multiplying 30320210272 by its sum of digits (22), we get a square (667044625984 = 8167282).

30320210272 divided by its sum of digits (22) gives a square (1378191376 = 371242).

Adding to 30320210272 its reverse (27201202303), we get a palindrome (57521412575).

The spelling of 30320210272 in words is "thirty billion, three hundred twenty million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 9281 18562 37124 74248 102091 148496 204182 296992 408364 816728 1633456 3266912 86136961 172273922 344547844 689095688 947506571 1378191376 1895013142 2756382752 3790026284 7580052568 15160105136 30320210272