Search a number
-
+
132020300133333 = 334889640745679
BaseRepresentation
bin11110000001001001011111…
…000101111011001111010101
3122022110000110201010202112000
4132001021133011323033111
5114301010033313231313
61144441142201145513
736544103052406653
oct3601113705731725
9568400421122460
10132020300133333
113907a549732707
121298250348b299
1358885cb73a871
142485b60b3ddd3
15103e23e82a673
hex78125f17b3d5

132020300133333 has 8 divisors (see below), whose sum is σ = 195585629827200. Its totient is φ = 88013533422204.

The previous prime is 132020300133313. The next prime is 132020300133383. The reversal of 132020300133333 is 333331003020231.

132020300133333 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 20 + 300 + 1 + 3 + 3 + 333 = 666.

It is not a de Polignac number, because 132020300133333 - 210 = 132020300132309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4889640745679 = 132020300133333 / (1 + 3 + 2 + 0 + 2 + 0 + 3 + 0 + 0 + 1 + 3 + 3 + 3 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 132020300133297 and 132020300133306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020300133313) 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, 2444820372813 + ... + 2444820372866.

It is an arithmetic number, because the mean of its divisors is an integer number (24448203728400).

Almost surely, 2132020300133333 is an apocalyptic number.

It is an amenable number.

132020300133333 is a deficient number, since it is larger than the sum of its proper divisors (63565329693867).

132020300133333 is an equidigital number, since it uses as much as digits as its factorization.

132020300133333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889640745688 (or 4889640745682 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132020300133333 its reverse (333331003020231), we get a palindrome (465351303153564).

The spelling of 132020300133333 in words is "one hundred thirty-two trillion, twenty billion, three hundred million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 4889640745679 14668922237037 44006766711111 132020300133333