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542301012010 = 251722322291549
BaseRepresentation
bin1111110010000111010…
…10001100000000101010
31220211202220000202211001
413321003222030000222
532341113024341020
61053044000425214
754115503355102
oct7710352140052
91824686022731
10542301012010
11199a9686895a
128912761820a
133c1a5b3acb4
141c367244202
15e18e63b50a
hex7e43a8c02a

542301012010 has 144 divisors (see below), whose sum is σ = 1089420507000. Its totient is φ = 194305554432.

The previous prime is 542301011881. The next prime is 542301012031. The reversal of 542301012010 is 10210103245.

It can be written as a sum of positive squares in 12 ways, for example, as 276372055521 + 265928956489 = 525711^2 + 515683^2 .

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 71 ways as a sum of consecutive naturals, for example, 350096716 + ... + 350098264.

Almost surely, 2542301012010 is an apocalyptic number.

542301012010 is an abundant number, since it is smaller than the sum of its proper divisors (547119494990).

542301012010 is a wasteful number, since it uses less digits than its factorization.

542301012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 542301012010 its reverse (10210103245), we get a palindrome (552511115255).

The spelling of 542301012010 in words is "five hundred forty-two billion, three hundred one million, twelve thousand, ten".

Divisors: 1 2 5 10 17 23 34 46 85 115 170 229 230 289 391 458 529 578 782 1058 1145 1445 1549 1955 2290 2645 2890 3098 3893 3910 5267 5290 6647 7745 7786 8993 10534 13294 15490 17986 19465 26333 26335 33235 35627 38930 44965 52666 52670 66181 66470 71254 89539 89930 121141 131665 132362 152881 178135 179078 242282 263330 305762 330905 354721 356270 447661 447695 605659 605705 661810 709442 764405 819421 895322 895390 1211318 1211410 1522163 1528810 1638842 1773605 2059397 2238305 3028295 3044326 3547210 4097105 4118794 4476610 6030257 6056590 7610815 8158583 8194210 10296203 10296985 12060514 13930157 15221630 16317166 20592406 20593970 27860314 30151285 35009749 40792915 51481015 60302570 69650785 70019498 81585830 102514369 102962030 138695911 139301570 175048745 187647409 205028738 236812669 277391822 350097490 375294818 473625338 512571845 693479555 938237045 1025143690 1184063345 1386959110 1876474090 2357830487 2368126690 3190005953 4715660974 6380011906 11789152435 15950029765 23578304870 31900059530 54230101201 108460202402 271150506005 542301012010