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331330114341 = 32411974557937
BaseRepresentation
bin1001101001001001101…
…00000101001100100101
31011200012222001201222100
410310210310011030211
520412031002124331
6412113322122313
732636445334512
oct4644464051445
91150188051870
10331330114341
11118575236986
1254269950399
13253239439c5
14120720aa309
158942e75ae6
hex4d24d05325

331330114341 has 24 divisors (see below), whose sum is σ = 492749561304. Its totient is φ = 214405309440.

The previous prime is 331330114331. The next prime is 331330114517. The reversal of 331330114341 is 143411033133.

331330114341 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 301 + 14 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6139349316 + 325190765025 = 78354^2 + 570255^2 .

It is not a de Polignac number, because 331330114341 - 211 = 331330112293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331330114331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2206276 + ... + 2351661.

It is an arithmetic number, because the mean of its divisors is an integer number (20531231721).

Almost surely, 2331330114341 is an apocalyptic number.

It is an amenable number.

331330114341 is a deficient number, since it is larger than the sum of its proper divisors (161419446963).

331330114341 is a wasteful number, since it uses less digits than its factorization.

331330114341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558181 (or 4558178 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331330114341 its reverse (143411033133), we get a palindrome (474741147474).

The spelling of 331330114341 in words is "three hundred thirty-one billion, three hundred thirty million, one hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 41 123 197 369 591 1773 8077 24231 72693 4557937 13673811 41021433 186875417 560626251 897913589 1681878753 2693740767 8081222301 36814457149 110443371447 331330114341