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331242534513 = 33111115294729
BaseRepresentation
bin1001101000111111001…
…01111111011001110001
31011122222212021020001000
410310133211333121301
520411341042101023
6412100513032213
732634333041652
oct4643745773161
91148885236030
10331242534513
1111852a858960
1254244555669
132530b75b517
14120645cd529
15893a426243
hex4d1f97f671

331242534513 has 16 divisors (see below), whose sum is σ = 535341470400. Its totient is φ = 200753051040.

The previous prime is 331242534443. The next prime is 331242534523. The reversal of 331242534513 is 315435242133.

331242534513 is a `hidden beast` number, since 3 + 31 + 2 + 42 + 534 + 51 + 3 = 666.

It is not a de Polignac number, because 331242534513 - 28 = 331242534257 is a prime.

It is a super-3 number, since 3×3312425345133 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (331242534523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557647068 + ... + 557647661.

It is an arithmetic number, because the mean of its divisors is an integer number (33458841900).

Almost surely, 2331242534513 is an apocalyptic number.

331242534513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331242534513 is a deficient number, since it is larger than the sum of its proper divisors (204098935887).

331242534513 is a wasteful number, since it uses less digits than its factorization.

331242534513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115294749 (or 1115294743 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 331242534513 its reverse (315435242133), we get a palindrome (646677776646).

The spelling of 331242534513 in words is "three hundred thirty-one billion, two hundred forty-two million, five hundred thirty-four thousand, five hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 1115294729 3345884187 10037652561 12268242019 30112957683 36804726057 110414178171 331242534513