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2434030131 = 31317192331271
BaseRepresentation
bin1001000100010100…
…0101101000110011
320021122001112122010
42101011011220303
514441102431011
61041305414003
7114213625521
oct22105055063
96248045563
102434030131
111039a45955
1257b19a303
132ca372120
1419139b311
15e3a491a6
hex91145a33

2434030131 has 128 divisors (see below), whose sum is σ = 4211343360. Its totient is φ = 1231718400.

The previous prime is 2434030129. The next prime is 2434030139. The reversal of 2434030131 is 1310304342.

It is not a de Polignac number, because 2434030131 - 21 = 2434030129 is a prime.

It is a super-2 number, since 2×24340301312 = 11849005357231754322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2434030098 and 2434030107.

It is not an unprimeable number, because it can be changed into a prime (2434030139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8981526 + ... + 8981796.

It is an arithmetic number, because the mean of its divisors is an integer number (32901120).

Almost surely, 22434030131 is an apocalyptic number.

2434030131 is a deficient number, since it is larger than the sum of its proper divisors (1777313229).

2434030131 is a wasteful number, since it uses less digits than its factorization.

2434030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2434030131 is about 49335.8909010469. The cubic root of 2434030131 is about 1345.1642500130.

Adding to 2434030131 its reverse (1310304342), we get a palindrome (3744334473).

The spelling of 2434030131 in words is "two billion, four hundred thirty-four million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 13 17 19 23 31 39 51 57 69 93 221 247 271 299 323 391 403 437 527 589 663 713 741 813 897 969 1173 1209 1311 1581 1767 2139 3523 4199 4607 5083 5149 5681 6233 6851 7429 7657 8401 9269 10013 10569 12121 12597 13547 13821 15249 15447 17043 18699 20553 22287 22971 25203 27807 30039 36363 40641 59891 66937 81029 87533 96577 105961 109213 118427 130169 142817 157573 159619 176111 179673 193223 200811 230299 243087 262599 289731 317883 327639 355281 390507 428451 472719 478857 528333 579669 690897 1137929 1377493 1539551 1856621 2013259 2075047 2511899 2713523 2993887 3284791 3413787 3671237 4132479 4618653 5569863 6039777 6225141 7535697 8140569 8981661 9854373 11013711 26172367 35275799 42702283 47726081 62411029 78517101 105827397 128106849 143178243 187233087 811343377 2434030131