Search a number
-
+
213334423300431 = 342633758312351
BaseRepresentation
bin110000100000011011001010…
…100001001110100101001111
31000222100120102202120110110000
4300200123022201032211033
5210430232344331103211
62033420251530015343
762635621612252206
oct6040331241164517
91028316382513400
10213334423300431
1161a7a691377464
121bb15782877553
13920647166b704
143a9762685823d
15199e4b7eeb656
hexc206ca84e94f

213334423300431 has 10 divisors (see below), whose sum is σ = 318684755794592. Its totient is φ = 142222948866900.

The previous prime is 213334423300429. The next prime is 213334423300433. The reversal of 213334423300431 is 134003324433312.

213334423300431 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 344 + 2 + 3 + 300 + 4 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213334423300429) and next prime (213334423300433).

It is not a de Polignac number, because 213334423300431 - 21 = 213334423300429 is a prime.

It is a super-3 number, since 3×2133344233004313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213334423300433) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1316879156095 + ... + 1316879156256.

Almost surely, 2213334423300431 is an apocalyptic number.

213334423300431 is a deficient number, since it is larger than the sum of its proper divisors (105350332494161).

213334423300431 is an equidigital number, since it uses as much as digits as its factorization.

213334423300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633758312363 (or 2633758312354 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 213334423300431 its reverse (134003324433312), we get a palindrome (347337747733743).

The spelling of 213334423300431 in words is "two hundred thirteen trillion, three hundred thirty-four billion, four hundred twenty-three million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 2633758312351 7901274937053 23703824811159 71111474433477 213334423300431