Search a number
-
+
32300111132130 = 2351471373178167
BaseRepresentation
bin1110101100000011101001…
…01001100111010111100010
311020100212020021120201211010
413112001310221213113202
513213201111422212010
6152410244411201350
76542414602415202
oct726016451472742
9136325207521733
1032300111132130
11a323444743376
123757b89a46256
131503b6c84297a
147d9495a2a402
153b03000b8620
hex1d6074a675e2

32300111132130 has 32 divisors (see below), whose sum is σ = 77525536604544. Its totient is φ = 8612777425536.

The previous prime is 32300111132119. The next prime is 32300111132173. The reversal of 32300111132130 is 3123111100323.

It is a happy number.

32300111132130 is digitally balanced in base 13, because in such base it contains all the possibile digits an equal number of times.

32300111132130 is strictly pandigital in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 32300111132097 and 32300111132106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36147694 + ... + 37030473.

It is an arithmetic number, because the mean of its divisors is an integer number (2422673018892).

Almost surely, 232300111132130 is an apocalyptic number.

32300111132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32300111132130 is an abundant number, since it is smaller than the sum of its proper divisors (45225425472414).

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

32300111132130 is a wasteful number, since it uses less digits than its factorization.

32300111132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73192890.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 32300111132130 its reverse (3123111100323), we get a palindrome (35423222232453).

The spelling of 32300111132130 in words is "thirty-two trillion, three hundred billion, one hundred eleven million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 14713 29426 44139 73565 88278 147130 220695 441390 73178167 146356334 219534501 365890835 439069002 731781670 1097672505 2195345010 1076670371071 2153340742142 3230011113213 5383351855355 6460022226426 10766703710710 16150055566065 32300111132130