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242212300410 = 235292339771223
BaseRepresentation
bin1110000110010011111…
…0100110011001111010
3212011012012011201122010
43201210332212121322
512432022322103120
6303134254110350
723333150404143
oct3414476463172
9764165151563
10242212300410
11937a3590293
123ab384ab3b6
1319ac081ba22
14ba1a40caca
1564792a77e0
hex3864fa667a

242212300410 has 128 divisors (see below), whose sum is σ = 605048071680. Its totient is φ = 61980778496.

The previous prime is 242212300373. The next prime is 242212300417. The reversal of 242212300410 is 14003212242.

It is not an unprimeable number, because it can be changed into a prime (242212300417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198047059 + ... + 198048281.

It is an arithmetic number, because the mean of its divisors is an integer number (4726938060).

Almost surely, 2242212300410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242212300410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302524035840).

242212300410 is an abundant number, since it is smaller than the sum of its proper divisors (362835771270).

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

242212300410 is a wasteful number, since it uses less digits than its factorization.

242212300410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 242212300410 its reverse (14003212242), we get a palindrome (256215512652).

The spelling of 242212300410 in words is "two hundred forty-two billion, two hundred twelve million, three hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 233 290 435 466 699 870 977 1165 1223 1398 1954 2330 2446 2931 3495 3669 4885 5862 6115 6757 6990 7338 9770 12230 13514 14655 18345 20271 28333 29310 33785 35467 36690 40542 56666 67570 70934 84999 101355 106401 141665 169998 177335 202710 212802 227641 283330 284959 354670 424995 455282 532005 569918 682923 849990 854877 1064010 1138205 1194871 1365846 1424795 1709754 2276410 2389742 2849590 3414615 3584613 4274385 5974355 6601589 6829230 7169226 8263811 8548770 11948710 13203178 16527622 17923065 19804767 24791433 33007945 34651259 35846130 39609534 41319055 49582866 66015890 69302518 82638110 99023835 103953777 123957165 173256295 198047670 207907554 247914330 278404943 346512590 519768885 556809886 835214829 1039537770 1392024715 1670429658 2784049430 4176074145 8073743347 8352148290 16147486694 24221230041 40368716735 48442460082 80737433470 121106150205 242212300410