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304135401155121 = 3293701360645269
BaseRepresentation
bin100010100100111000000101…
…0100011001010101000110001
31110212212001122000210122100100
41011021300022203022220301
5304330423300143430441
62554501512514543013
7121030025522350404
oct10511601243125061
91425761560718310
10304135401155121
11889a8110181a88
122a13b58a597a69
1310091acb08ac43
1455163366c7d3b
1525263d6924cb6
hex1149c0a8caa31

304135401155121 has 12 divisors (see below), whose sum is σ = 439311380164020. Its totient is φ = 202754769669600.

The previous prime is 304135401155111. The next prime is 304135401155123. The reversal of 304135401155121 is 121551104531403.

304135401155121 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 35 + 40 + 11 + 551 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283772925404721 + 20362475750400 = 16845561^2 + 4512480^2 .

It is not a de Polignac number, because 304135401155121 - 27 = 304135401154993 is a prime.

It is a super-2 number, since 2×3041354011551212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (304135401155123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179479326 + ... + 181165943.

It is an arithmetic number, because the mean of its divisors is an integer number (36609281680335).

Almost surely, 2304135401155121 is an apocalyptic number.

It is an amenable number.

304135401155121 is a deficient number, since it is larger than the sum of its proper divisors (135175979008899).

304135401155121 is a wasteful number, since it uses less digits than its factorization.

304135401155121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360738976 (or 360738973 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 304135401155121 its reverse (121551104531403), we get a palindrome (425686505686524).

The spelling of 304135401155121 in words is "three hundred four trillion, one hundred thirty-five billion, four hundred one million, one hundred fifty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 93701 281103 843309 360645269 1081935807 3245807421 33792822350569 101378467051707 304135401155121