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3000121131 = 37314879463
BaseRepresentation
bin1011001011010010…
…0011011100101011
321202002020221111110
42302310203130223
522121012334011
61213411001403
7134226415560
oct26264433453
97662227443
103000121131
1112aa543457
126b8899263
1338a727707
14206638867
151285b9ba6
hexb2d2372b

3000121131 has 32 divisors (see below), whose sum is σ = 4729274368. Its totient is φ = 1655471520.

The previous prime is 3000121129. The next prime is 3000121153. The reversal of 3000121131 is 1311210003.

It is not a de Polignac number, because 3000121131 - 21 = 3000121129 is a prime.

It is a super-2 number, since 2×30001211312 = 18001453601345438322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3000121181) 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 31 ways as a sum of consecutive naturals, for example, 312306 + ... + 321768.

It is an arithmetic number, because the mean of its divisors is an integer number (147789824).

Almost surely, 23000121131 is an apocalyptic number.

3000121131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3000121131 is a deficient number, since it is larger than the sum of its proper divisors (1729153237).

3000121131 is a wasteful number, since it uses less digits than its factorization.

3000121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3000121131 is about 54773.3615090401. The cubic root of 3000121131 is about 1442.2689812831.

Adding to 3000121131 its reverse (1311210003), we get a palindrome (4311331134).

The spelling of 3000121131 in words is "three billion, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 487 651 1461 3409 9463 10227 15097 28389 45291 66241 105679 198723 293353 317037 880059 2053471 4608481 6160413 13825443 32259367 96778101 142862911 428588733 1000040377 3000121131