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242103301110 = 233511211386333
BaseRepresentation
bin1110000101111001111…
…0110011001111110110
3212010220121001222201000
43201132132303033312
512431311421113420
6303115401544130
723330355051006
oct3413636631766
9763817058630
10242103301110
1193748002520
123ab07aa5046
1319aa4076cb8
14ba09b58006
15646e926690
hex385e7b33f6

242103301110 has 128 divisors (see below), whose sum is σ = 707640261120. Its totient is φ = 58413398400.

The previous prime is 242103301103. The next prime is 242103301159. The reversal of 242103301110 is 11103301242.

242103301110 is a `hidden beast` number, since 242 + 10 + 3 + 301 + 110 = 666.

It is a super-2 number, since 2×2421033011102 (a number of 24 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, 433504 + ... + 819836.

It is an arithmetic number, because the mean of its divisors is an integer number (5528439540).

Almost surely, 2242103301110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242103301110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353820130560).

242103301110 is an abundant number, since it is smaller than the sum of its proper divisors (465536960010).

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

242103301110 is a wasteful number, since it uses less digits than its factorization.

242103301110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386571 (or 386565 counting only the distinct ones).

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

Adding to 242103301110 its reverse (11103301242), we get a palindrome (253206602352).

The spelling of 242103301110 in words is "two hundred forty-two billion, one hundred three million, three hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 211 270 297 330 422 495 594 633 990 1055 1266 1485 1899 2110 2321 2970 3165 3798 4642 5697 6330 6963 9495 11394 11605 13926 18990 20889 23210 28485 34815 41778 56970 62667 69630 104445 125334 208890 313335 386333 626670 772666 1158999 1931665 2317998 3476997 3863330 4249663 5794995 6953994 8499326 10430991 11589990 12748989 17384985 20861982 21248315 25497978 34769970 38246967 42496630 52154955 63744945 76493934 81516263 104309910 114740901 127489890 163032526 191234835 229481802 244548789 382469670 407581315 489097578 573704505 733646367 815162630 896678893 1147409010 1222743945 1467292734 1793357786 2200939101 2445487890 2690036679 3668231835 4401878202 4483394465 5380073358 7336463670 8070110037 8966788930 11004695505 13450183395 16140220074 22009391010 24210330111 26900366790 40350550185 48420660222 80701100370 121051650555 242103301110