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334130121 = 321317315419
BaseRepresentation
bin10011111010100…
…110101111001001
3212021201120100200
4103322212233021
51141014130441
653053322413
711165026203
oct2372465711
9767646320
10334130121
111616759a6
1293a96409
13542ba940
1432539773
151e5017b6
hex13ea6bc9

334130121 has 48 divisors (see below), whose sum is σ = 568189440. Its totient is φ = 187246080.

The previous prime is 334130107. The next prime is 334130129. The reversal of 334130121 is 121031433.

334130121 is a `hidden beast` number, since 3 + 341 + 301 + 21 = 666.

It is not a de Polignac number, because 334130121 - 213 = 334121929 is a prime.

It is a super-2 number, since 2×3341301212 = 223285875518949282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334130094 and 334130103.

It is not an unprimeable number, because it can be changed into a prime (334130129) 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 47 ways as a sum of consecutive naturals, for example, 58950 + ... + 64368.

It is an arithmetic number, because the mean of its divisors is an integer number (11837280).

Almost surely, 2334130121 is an apocalyptic number.

334130121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

334130121 is a deficient number, since it is larger than the sum of its proper divisors (234059319).

334130121 is a wasteful number, since it uses less digits than its factorization.

334130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 334130121 is about 18279.2264880109. The cubic root of 334130121 is about 693.9132964515.

Adding to 334130121 its reverse (121031433), we get a palindrome (455161554).

The spelling of 334130121 in words is "three hundred thirty-four million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 31 39 51 93 117 153 221 279 403 527 663 1209 1581 1989 3627 4743 5419 6851 16257 20553 48771 61659 70447 92123 167989 211341 276369 503967 634023 829107 1197599 1511901 2183857 2855813 3592797 6551571 8567439 10778391 19654713 25702317 37125569 111376707 334130121