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121310130310200 = 233252135184193603
BaseRepresentation
bin11011100101010010110111…
…001110011000110000111000
3120220112010122120002120021200
4123211102313032120300320
5111400021121324411300
61110001034324134200
734360240055112606
oct3345226716306070
9526463576076250
10121310130310200
1135720379014397
1211732871237360
13528c65b2082b0
1421d5627bbc876
15e0584cac9200
hex6e54b7398c38

121310130310200 has 144 divisors (see below), whose sum is σ = 438738304706520. Its totient is φ = 29860955147520.

The previous prime is 121310130310157. The next prime is 121310130310253. The reversal of 121310130310200 is 2013031013121.

121310130310200 is a `hidden beast` number, since 1 + 2 + 13 + 10 + 130 + 310 + 200 = 666.

121310130310200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1213101303102002 (a number of 29 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 35 ways as a sum of consecutive naturals, for example, 2592073402 + ... + 2592120201.

Almost surely, 2121310130310200 is an apocalyptic number.

121310130310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121310130310200 is an abundant number, since it is smaller than the sum of its proper divisors (317428174396320).

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

121310130310200 is a wasteful number, since it uses less digits than its factorization.

121310130310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184193638 (or 5184193626 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121310130310200 its reverse (2013031013121), we get a palindrome (123323161323321).

The spelling of 121310130310200 in words is "one hundred twenty-one trillion, three hundred ten billion, one hundred thirty million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 5184193603 10368387206 15552580809 20736774412 25920968015 31105161618 41473548824 46657742427 51841936030 62210323236 67394516839 77762904045 93315484854 103683872060 124420646472 129604840075 134789033678 155525808090 186630969708 202183550517 207367744120 233288712135 259209680150 269578067356 311051616180 336972584195 373261939416 388814520225 404367101034 466577424270 518419360300 539156134712 606550651551 622103232360 673945168390 777629040450 808734202068 933154848540 1010917752585 1036838720600 1166443560675 1213101303102 1347890336780 1555258080900 1617468404136 1684862920975 1866309697080 2021835505170 2332887121350 2426202606204 2695780673560 3032753257755 3110516161800 3369725841950 4043671010340 4665774242700 4852405212408 5054588762925 6065506515510 6739451683900 8087342020680 9331548485400 10109177525850 12131013031020 13478903367800 15163766288775 20218355051700 24262026062040 30327532577550 40436710103400 60655065155100 121310130310200