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114113342310 = 235117318792521
BaseRepresentation
bin110101001000110101…
…1110110101101100110
3101220112202101102020120
41222101223312231212
53332201003423220
6124231204542410
711146556256042
oct1522153665546
9356482342216
10114113342310
1144439009070
121a1483b1a06
13a9b7754076
1457475dd022
152e7d2aaa40
hex1a91af6b66

114113342310 has 128 divisors (see below), whose sum is σ = 303143592960. Its totient is φ = 27259545600.

The previous prime is 114113342303. The next prime is 114113342323. The reversal of 114113342310 is 13243311411.

It is a happy number.

114113342310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1141133423102 (a number of 23 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, 45263850 + ... + 45266370.

It is an arithmetic number, because the mean of its divisors is an integer number (2368309320).

Almost surely, 2114113342310 is an apocalyptic number.

114113342310 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 114113342310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151571796480).

114113342310 is an abundant number, since it is smaller than the sum of its proper divisors (189030250650).

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

114113342310 is a wasteful number, since it uses less digits than its factorization.

114113342310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 114113342310 its reverse (13243311411), we get a palindrome (127356653721).

The spelling of 114113342310 in words is "one hundred fourteen billion, one hundred thirteen million, three hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 1879 2190 2409 2521 3758 4015 4818 5042 5637 7563 8030 9395 11274 12045 12605 15126 18790 20669 24090 25210 27731 28185 37815 41338 55462 56370 62007 75630 83193 103345 124014 137167 138655 166386 184033 206690 274334 277310 310035 368066 411501 415965 552099 620070 685835 823002 831930 920165 1104198 1371670 1508837 1840330 2024363 2057505 2760495 3017674 4048726 4115010 4526511 4736959 5520990 6073089 7544185 9053022 9473918 10121815 12146178 14210877 15088370 20243630 22632555 23684795 28421754 30365445 45265110 47369590 52106549 60730890 71054385 104213098 142108770 156319647 260532745 312639294 345798007 521065490 691596014 781598235 1037394021 1563196470 1728990035 2074788042 3457980070 3803778077 5186970105 7607556154 10373940210 11411334231 19018890385 22822668462 38037780770 57056671155 114113342310