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213314413041 = 3223701601449
BaseRepresentation
bin1100011010101010000…
…1111010000111110001
3202101121020200221120100
43012222201322013301
511443331442204131
6241554552103013
721261062410512
oct3065241720761
9671536627510
10213314413041
1182514474844
1235412694a69
13171668970a2
14a4784d2a09
1558372d07e6
hex31aa87a1f1

213314413041 has 6 divisors (see below), whose sum is σ = 308120818850. Its totient is φ = 142209608688.

The previous prime is 213314413021. The next prime is 213314413043. The reversal of 213314413041 is 140314413312.

213314413041 is a `hidden beast` number, since 2 + 1 + 3 + 314 + 41 + 304 + 1 = 666.

213314413041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112428772416 + 100885640625 = 335304^2 + 317625^2 .

It is not a de Polignac number, because 213314413041 - 223 = 213306024433 is a prime.

It is a super-2 number, since 2×2133144130412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213314412996 and 213314413014.

It is not an unprimeable number, because it can be changed into a prime (213314413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11850800716 + ... + 11850800733.

Almost surely, 2213314413041 is an apocalyptic number.

It is an amenable number.

213314413041 is a deficient number, since it is larger than the sum of its proper divisors (94806405809).

213314413041 is a wasteful number, since it uses less digits than its factorization.

213314413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23701601455 (or 23701601452 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213314413041 its reverse (140314413312), we get a palindrome (353628826353).

The spelling of 213314413041 in words is "two hundred thirteen billion, three hundred fourteen million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 9 23701601449 71104804347 213314413041