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42310121310 = 23351917474721
BaseRepresentation
bin100111011001111000…
…010011011101011110
311001012122221212012000
4213121320103131132
51143122342340220
631234220423130
73025325045232
oct473170233536
9131178855160
1042310121310
1116a41a62406
1282496a7aa6
133cb385c552
1420953125c2
151179707390
hex9d9e1375e

42310121310 has 128 divisors (see below), whose sum is σ = 118858406400. Its totient is φ = 10680491520.

The previous prime is 42310121299. The next prime is 42310121323. The reversal of 42310121310 is 1312101324.

42310121310 is a `hidden beast` number, since 4 + 231 + 0 + 121 + 310 = 666.

It is a super-2 number, since 2×423101213102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8959750 + ... + 8964470.

It is an arithmetic number, because the mean of its divisors is an integer number (928581300).

Almost surely, 242310121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42310121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59429203200).

42310121310 is an abundant number, since it is smaller than the sum of its proper divisors (76548285090).

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

42310121310 is a wasteful number, since it uses less digits than its factorization.

42310121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 42310121310 its reverse (1312101324), we get a palindrome (43622222634).

The spelling of 42310121310 in words is "forty-two billion, three hundred ten million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 1747 2565 3494 4721 5130 5241 8735 9442 10482 14163 15723 17470 23605 26205 28326 31446 33193 42489 47169 47210 52410 66386 70815 78615 84978 89699 94338 99579 127467 141630 157230 165965 179398 199158 212445 235845 254934 269097 298737 331930 424890 448495 471690 497895 538194 597474 637335 807291 896211 896990 995790 1274670 1345485 1493685 1614582 1792422 2421873 2690970 2987370 4036455 4481055 4843746 8072910 8247587 8962110 12109365 16495174 24218730 24742761 41237935 49485522 74228283 82475870 123713805 148456566 156704153 222684849 247427610 313408306 371141415 445369698 470112459 742282830 783520765 940224918 1113424245 1410337377 1567041530 2226848490 2350562295 2820674754 4231012131 4701124590 7051686885 8462024262 14103373770 21155060655 42310121310