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2031124222120 = 2357291731445887
BaseRepresentation
bin11101100011101000011…
…100000001000010101000
321012011200112120011011111
4131203220130001002220
5231234220300101440
64153030253040104
7266513103012310
oct35435034010250
97164615504144
102031124222120
11713438743604
1228978b486034
131196c380b256
1470442340440
1537c7a6744ea
hex1d8e87010a8

2031124222120 has 128 divisors (see below), whose sum is σ = 5434225459200. Its totient is φ = 668485149696.

The previous prime is 2031124222069. The next prime is 2031124222129. The reversal of 2031124222120 is 212224211302.

It is a junction number, because it is equal to n+sod(n) for n = 2031124222091 and 2031124222100.

It is not an unprimeable number, because it can be changed into a prime (2031124222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681817 + ... + 2127703.

It is an arithmetic number, because the mean of its divisors is an integer number (42454886400).

Almost surely, 22031124222120 is an apocalyptic number.

2031124222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031124222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717112729600).

2031124222120 is an abundant number, since it is smaller than the sum of its proper divisors (3403101237080).

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

2031124222120 is a wasteful number, since it uses less digits than its factorization.

2031124222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446107 (or 1446103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2031124222120 its reverse (212224211302), we get a palindrome (2243348433422).

The spelling of 2031124222120 in words is "two trillion, thirty-one billion, one hundred twenty-four million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 173 203 232 280 290 346 406 580 692 812 865 1015 1160 1211 1384 1624 1730 2030 2422 3460 4060 4844 5017 6055 6920 8120 9688 10034 12110 20068 24220 25085 35119 40136 48440 50170 70238 100340 140476 175595 200680 280952 351190 702380 1404760 1445887 2891774 5783548 7229435 10121209 11567096 14458870 20242418 28917740 40484836 41930723 50606045 57835480 80969672 83861446 101212090 167722892 202424180 209653615 250138451 293515061 335445784 404848360 419307230 500276902 587030122 838614460 1000553804 1174060244 1250692255 1467575305 1677228920 1750969157 2001107608 2348120488 2501384510 2935150610 3501938314 5002769020 5870301220 7003876628 7254015079 8754845785 10005538040 11740602440 14007753256 14508030158 17509691570 29016060316 35019383140 36270075395 50778105553 58032120632 70038766280 72540150790 101556211106 145080301580 203112422212 253890527765 290160603160 406224844424 507781055530 1015562111060 2031124222120