Search a number
-
+
114603302061260 = 225307313217927367
BaseRepresentation
bin11010000011101100101001…
…000111000000010011001100
3120000202222011011111122000122
4122003230221013000103030
5110010130030311430020
61043424010302444112
733065546442446525
oct3203545107002314
9500688134448018
10114603302061260
1133574a95347901
1210a2aa79b93638
134bc4077b7b99c
142042b87cb984c
15d3b165399125
hex683b291c04cc

114603302061260 has 96 divisors (see below), whose sum is σ = 242342291304960. Its totient is φ = 45523453966848.

The previous prime is 114603302061257. The next prime is 114603302061263. The reversal of 114603302061260 is 62160203306411.

114603302061260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114603302061257) and next prime (114603302061263).

It is a self number, because there is not a number n which added to its sum of digits gives 114603302061260.

It is not an unprimeable number, because it can be changed into a prime (114603302061263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4187632097 + ... + 4187659463.

It is an arithmetic number, because the mean of its divisors is an integer number (2524398867760).

Almost surely, 2114603302061260 is an apocalyptic number.

114603302061260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114603302061260 is an abundant number, since it is smaller than the sum of its proper divisors (127738989243700).

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

114603302061260 is a wasteful number, since it uses less digits than its factorization.

114603302061260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30175 (or 30173 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

Adding to 114603302061260 its reverse (62160203306411), we get a palindrome (176763505367671).

The spelling of 114603302061260 in words is "one hundred fourteen trillion, six hundred three billion, three hundred two million, sixty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 307 313 614 626 1228 1252 1535 1565 2179 3070 3130 4358 6140 6260 8716 10895 21790 27367 43580 54734 96091 109468 136835 192182 273670 384364 480455 547340 668953 682027 960910 1337906 1364054 1921820 2675812 2728108 3344765 3410135 6689530 6820270 8401669 8565871 13379060 13640540 16803338 17131742 33606676 34263484 42008345 42829355 59632693 84016690 85658710 119265386 168033380 171317420 209382289 238530772 298163465 418764578 596326930 837529156 1046911445 1192653860 2093822890 2629722397 4187645780 5259444794 10518889588 13148611985 18307236751 18665032909 26297223970 36614473502 37330065818 52594447940 73228947004 74660131636 91536183755 93325164545 183072367510 186650329090 366144735020 373300658180 5730165103063 11460330206126 22920660412252 28650825515315 57301651030630 114603302061260