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242322421110 = 235711557188333
BaseRepresentation
bin1110000110101110001…
…0101011010101110110
3212011110212101102211120
43201223202223111312
512432234014433420
6303153230244410
723335655410560
oct3415342532566
9764425342746
10242322421110
119384a764630
123ab69356706
1319b0a596cc3
14ba2acb6330
156483caad40
hex386b8ab576

242322421110 has 128 divisors (see below), whose sum is σ = 726384651264. Its totient is φ = 50262044160.

The previous prime is 242322421067. The next prime is 242322421123. The reversal of 242322421110 is 11124223242.

It is a super-2 number, since 2×2423224211102 (a number of 24 digits) contains 22 as substring.

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, 1192504 + ... + 1380836.

It is an arithmetic number, because the mean of its divisors is an integer number (5674880088).

Almost surely, 2242322421110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242322421110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363192325632).

242322421110 is an abundant number, since it is smaller than the sum of its proper divisors (484062230154).

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

242322421110 is a wasteful number, since it uses less digits than its factorization.

242322421110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188918.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242322421110 its reverse (11124223242), we get a palindrome (253446644352).

The spelling of 242322421110 in words is "two hundred forty-two billion, three hundred twenty-two million, four hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 557 770 1114 1155 1671 2310 2785 3342 3899 5570 6127 7798 8355 11697 12254 16710 18381 19495 23394 30635 36762 38990 42889 58485 61270 85778 91905 116970 128667 183810 188333 214445 257334 376666 428890 564999 643335 941665 1129998 1286670 1318331 1883330 2071663 2636662 2824995 3954993 4143326 5649990 6214989 6591655 7909986 10358315 12429978 13183310 14501641 19774965 20716630 29003282 31074945 39549930 43504923 62149890 72508205 87009846 104901481 145016410 209802962 217524615 314704443 435049230 524507405 629408886 734310367 1049014810 1153916291 1468620734 1573522215 2202931101 2307832582 3147044430 3461748873 3671551835 4405862202 5769581455 6923497746 7343103670 8077414037 11014655505 11539162910 16154828074 17308744365 22029311010 24232242111 34617488730 40387070185 48464484222 80774140370 121161210555 242322421110