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1242440113110 = 2357103251228847
BaseRepresentation
bin10010000101000111001…
…100111001101111010110
311101202221210021020101120
4102011013030321233112
5130324004132104420
62350434043304410
7155522552466150
oct22050714715726
94352853236346
101242440113110
11439a09065239
1218096281b106
139021405c081
14441c4bd7ad0
15224baa1dd40
hex12147339bd6

1242440113110 has 128 divisors (see below), whose sum is σ = 3454645469184. Its totient is φ = 280107504000.

The previous prime is 1242440113099. The next prime is 1242440113111. The reversal of 1242440113110 is 113110442421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242440113111) 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, 5314707 + ... + 5543553.

It is an arithmetic number, because the mean of its divisors is an integer number (26989417728).

Almost surely, 21242440113110 is an apocalyptic number.

1242440113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242440113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727322734592).

1242440113110 is an abundant number, since it is smaller than the sum of its proper divisors (2212205356074).

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

1242440113110 is a wasteful number, since it uses less digits than its factorization.

1242440113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229218.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1242440113110 its reverse (113110442421), we get a palindrome (1355550555531).

The spelling of 1242440113110 in words is "one trillion, two hundred forty-two billion, four hundred forty million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 251 309 502 515 618 721 753 1030 1255 1442 1506 1545 1757 2163 2510 3090 3514 3605 3765 4326 5271 7210 7530 8785 10542 10815 17570 21630 25853 26355 51706 52710 77559 129265 155118 180971 228847 258530 361942 387795 457694 542913 686541 775590 904855 1085826 1144235 1373082 1601929 1809710 2288470 2714565 3203858 3432705 4805787 5429130 6865410 8009645 9611574 16019290 23571241 24028935 47142482 48057870 57440597 70713723 114881194 117856205 141427446 164998687 172321791 235712410 287202985 329997374 344643582 353568615 402084179 494996061 574405970 707137230 804168358 824993435 861608955 989992122 1206252537 1649986870 1723217910 2010420895 2412505074 2474980305 4020841790 4949960610 5916381491 6031262685 11832762982 12062525370 17749144473 29581907455 35498288946 41414670437 59163814910 82829340874 88745722365 124244011311 177491444730 207073352185 248488022622 414146704370 621220056555 1242440113110