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351504012234141 = 33131001435932291
BaseRepresentation
bin100111111101100001110011…
…1110010010100110110011101
31201002120110021222110121021000
41033323003213302110312131
5332033020204112443031
63243330414115300513
7134016220050236334
oct11773034762246635
91632513258417230
10351504012234141
11a2000018240888
123350b9ba5aa739
13121198bc557520
1462b2c564c6d1b
152a9865cc083e6
hex13fb0e7c94d9d

351504012234141 has 16 divisors (see below), whose sum is σ = 560804122083520. Its totient is φ = 216310161374640.

The previous prime is 351504012234107. The next prime is 351504012234209. The reversal of 351504012234141 is 141432210405153.

351504012234141 is a `hidden beast` number, since 3 + 5 + 1 + 5 + 0 + 401 + 2 + 234 + 14 + 1 = 666.

It is not a de Polignac number, because 351504012234141 - 231 = 351501864750493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 351504012234096 and 351504012234105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351504012634141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500717965795 + ... + 500717966496.

It is an arithmetic number, because the mean of its divisors is an integer number (35050257630220).

Almost surely, 2351504012234141 is an apocalyptic number.

It is an amenable number.

351504012234141 is a deficient number, since it is larger than the sum of its proper divisors (209300109849379).

351504012234141 is a wasteful number, since it uses less digits than its factorization.

351504012234141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001435932313 (or 1001435932307 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 351504012234141 its reverse (141432210405153), we get a palindrome (492936222639294).

The spelling of 351504012234141 in words is "three hundred fifty-one trillion, five hundred four billion, twelve million, two hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 1001435932291 3004307796873 9012923390619 13018667119783 27038770171857 39056001359349 117168004078047 351504012234141