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106010461341 = 3312613311291
BaseRepresentation
bin110001010111010110…
…1110100010010011101
3101010122001101102012000
41202232231310102131
53214102134230331
6120411152032513
710442016024261
oct1425655642235
9333561342160
10106010461341
1140a60161724
1218666832739
139cc5acc045
1451b93d40a1
152b56c3c0e6
hex18aeb7449d

106010461341 has 16 divisors (see below), whose sum is σ = 157065491520. Its totient is φ = 70667810640.

The previous prime is 106010461301. The next prime is 106010461367. The reversal of 106010461341 is 143164010601.

106010461341 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 0 + 4 + 613 + 41 = 666.

It is not a de Polignac number, because 106010461341 - 217 = 106010330269 is a prime.

It is a super-2 number, since 2×1060104613412 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010461301) 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, 184906 + ... + 496196.

It is an arithmetic number, because the mean of its divisors is an integer number (9816593220).

Almost surely, 2106010461341 is an apocalyptic number.

It is an amenable number.

106010461341 is a deficient number, since it is larger than the sum of its proper divisors (51055030179).

106010461341 is a wasteful number, since it uses less digits than its factorization.

106010461341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323913 (or 323907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106010461341 its reverse (143164010601), we get a palindrome (249174471942).

The spelling of 106010461341 in words is "one hundred six billion, ten million, four hundred sixty-one thousand, three hundred forty-one".

Divisors: 1 3 9 27 12613 37839 113517 311291 340551 933873 2801619 8404857 3926313383 11778940149 35336820447 106010461341