Search a number
-
+
30301332032 = 261727850489
BaseRepresentation
bin11100001110000110…
…011010001001000000
32220012202022011012202
4130032012122021000
5444024120111112
621530434412332
72121616033616
oct341606321100
986182264182
1030301332032
111193a348274
125a57a310a8
132b1b93b28a
1416764876b6
15bc52ec6c2
hex70e19a240

30301332032 has 28 divisors (see below), whose sum is σ = 63666220140. Its totient is φ = 14259449856.

The previous prime is 30301332011. The next prime is 30301332059. The reversal of 30301332032 is 23023310303.

It can be written as a sum of positive squares in 2 ways, for example, as 19127996416 + 11173335616 = 138304^2 + 105704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30301331995 and 30301332013.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13924157 + ... + 13926332.

Almost surely, 230301332032 is an apocalyptic number.

30301332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30301332032 is an abundant number, since it is smaller than the sum of its proper divisors (33364888108).

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

30301332032 is a wasteful number, since it uses less digits than its factorization.

30301332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27850518 (or 27850508 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 30301332032 its reverse (23023310303), we get a palindrome (53324642335).

The spelling of 30301332032 in words is "thirty billion, three hundred one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 27850489 55700978 111401956 222803912 445607824 473458313 891215648 946916626 1782431296 1893833252 3787666504 7575333008 15150666016 30301332032