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351162012231 = 3331181417113
BaseRepresentation
bin1010001110000101110…
…00110001001001000111
31020120102002021112111000
411013002320301021013
521223134433342411
6425153244344343
734241056566012
oct5070270611107
91216362245430
10351162012231
11125a2188a338
12580835450b3
1327164552124
1412dd3d14379
159204088956
hex51c2e31247

351162012231 has 16 divisors (see below), whose sum is σ = 520257949920. Its totient is φ = 234099938880.

The previous prime is 351162012191. The next prime is 351162012241. The reversal of 351162012231 is 132210261153.

351162012231 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 620 + 1 + 2 + 2 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-351162012231 is a prime.

It is a super-2 number, since 2×3511620122312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 351162012195 and 351162012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351162012241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633331 + ... + 1050443.

It is an arithmetic number, because the mean of its divisors is an integer number (32516121870).

Almost surely, 2351162012231 is an apocalyptic number.

351162012231 is a deficient number, since it is larger than the sum of its proper divisors (169095937689).

351162012231 is a wasteful number, since it uses less digits than its factorization.

351162012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448303 (or 448297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 351162012231 its reverse (132210261153), we get a palindrome (483372273384).

The spelling of 351162012231 in words is "three hundred fifty-one billion, one hundred sixty-two million, twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 27 31181 93543 280629 417113 841887 1251339 3754017 11262051 13006000453 39018001359 117054004077 351162012231