Search a number
-
+
32300332221313 = 136850136271601
BaseRepresentation
bin1110101100000100000011…
…10101000000001110000001
311020100212210200121020011101
413112002001311000032001
513213202040022040223
6152410322350014401
76542423225556112
oct726020165001601
9136325720536141
1032300332221313
11a32354851aa02
12375802baa7401
131503ba65a2080
147d94b713c209
153b03146db4ad
hex1d6081d40381

32300332221313 has 8 divisors (see below), whose sum is σ = 34785481922856. Its totient is φ = 29815255200000.

The previous prime is 32300332221301. The next prime is 32300332221317. The reversal of 32300332221313 is 31312223300323.

It can be written as a sum of positive squares in 4 ways, for example, as 3828471395904 + 28471860825409 = 1956648^2 + 5335903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32300332221313 is a prime.

It is a super-3 number, since 3×323003322213133 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32300332221317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17245288 + ... + 19026313.

It is an arithmetic number, because the mean of its divisors is an integer number (4348185240357).

Almost surely, 232300332221313 is an apocalyptic number.

It is an amenable number.

32300332221313 is a deficient number, since it is larger than the sum of its proper divisors (2485149701543).

32300332221313 is a wasteful number, since it uses less digits than its factorization.

32300332221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36340115.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 32300332221313 its reverse (31312223300323), we get a palindrome (63612555521636).

The spelling of 32300332221313 in words is "thirty-two trillion, three hundred billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 13 68501 890513 36271601 471530813 2484640940101 32300332221313