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2125131120 = 243357140551
BaseRepresentation
bin111111010101010…
…1110110101110000
312111002210211212000
41332222232311300
513323013143440
6550512534000
7103443213360
oct17652566560
95432724760
102125131120
119a0643512
124b3851300
1327b379948
1416234c9a0
15c687d730
hex7eaaed70

2125131120 has 160 divisors (see below), whose sum is σ = 8365655040. Its totient is φ = 485740800.

The previous prime is 2125131103. The next prime is 2125131143. The reversal of 2125131120 is 211315212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2125131093 and 2125131102.

It is a congruent number.

It is an unprimeable number.

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, 55156 + ... + 85395.

It is an arithmetic number, because the mean of its divisors is an integer number (52285344).

Almost surely, 22125131120 is an apocalyptic number.

2125131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125131120 is an abundant number, since it is smaller than the sum of its proper divisors (6240523920).

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

2125131120 is a wasteful number, since it uses less digits than its factorization.

2125131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140580 (or 140568 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2125131120 is about 46099.1444606079. The cubic root of 2125131120 is about 1285.6672376435.

Adding to 2125131120 its reverse (211315212), we get a palindrome (2336446332).

The spelling of 2125131120 in words is "two billion, one hundred twenty-five million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 140551 281102 421653 562204 702755 843306 983857 1124408 1264959 1405510 1686612 1967714 2108265 2248816 2529918 2811020 2951571 3373224 3794877 3935428 4216530 4919285 5059836 5622040 5903142 6324795 6746448 7589754 7870856 8433060 8854713 9838570 10119672 11244080 11806284 12649590 14757855 15179508 15741712 16866120 17709426 18974385 19677140 20239344 23612568 25299180 26564139 29515710 30359016 33732240 35418852 37948770 39354280 44273565 47225136 50598360 53128278 59031420 60718032 70837704 75897540 78708560 88547130 101196720 106256556 118062840 132820695 141675408 151795080 177094260 212513112 236125680 265641390 303590160 354188520 425026224 531282780 708377040 1062565560 2125131120