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302031130122 = 2321761128912553
BaseRepresentation
bin1000110010100100111…
…01010100111000001010
31001212121001212010110200
410121102131110320022
514422024432130442
6350430131153030
730551420150451
oct4312235247012
91055531763420
10302031130122
111070aa776437
124a651745776
1322634885457
1410892bc1b98
157ccab7034c
hex4652754e0a

302031130122 has 96 divisors (see below), whose sum is σ = 704856381840. Its totient is φ = 93121781760.

The previous prime is 302031130117. The next prime is 302031130147. The reversal of 302031130122 is 221031130203.

302031130122 is a `hidden beast` number, since 30 + 2 + 0 + 311 + 301 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 254963393721 + 47067736401 = 504939^2 + 216951^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 302031130095 and 302031130104.

It is an unprimeable number.

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, 24054198 + ... + 24066750.

Almost surely, 2302031130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302031130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352428190920).

302031130122 is an abundant number, since it is smaller than the sum of its proper divisors (402825251718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

302031130122 is a wasteful number, since it uses less digits than its factorization.

302031130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13925 counting only the distinct ones).

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

Adding to 302031130122 its reverse (221031130203), we get a palindrome (523062260325).

The spelling of 302031130122 in words is "three hundred two billion, thirty-one million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 1289 2074 2578 3111 3867 6222 7734 9333 11601 12553 18666 21913 23202 25106 37659 43826 65739 75318 78629 112977 131478 157258 197217 213401 225954 235887 394434 426802 471774 640203 707661 765733 1280406 1336693 1415322 1531466 1920609 2297199 2673386 3841218 4010079 4594398 6891597 8020158 12030237 13017461 13783194 16180817 24060474 26034922 32361634 39052383 48542451 78104766 97084902 117157149 145627353 234314298 275073889 291254706 550147778 825221667 987029837 1650443334 1974059674 2475665001 2961089511 4951330002 5922179022 8883268533 16779507229 17766537066 33559014458 50338521687 100677043374 151015565061 302031130122