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252431530120 = 235721111708327
BaseRepresentation
bin1110101100011000010…
…1110111100010001000
3220010120101110101101101
43223012011313202020
513113434432430440
6311544311431144
724144326413600
oct3530605674210
9803511411341
10252431530120
1198068021880
1240b0a9854b4
131aa5ba67103
14c30971bc00
15687651c69a
hex3ac6177888

252431530120 has 96 divisors (see below), whose sum is σ = 720764671680. Its totient is φ = 78679950720.

The previous prime is 252431530079. The next prime is 252431530147. The reversal of 252431530120 is 21035134252.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5832604 + ... + 5875723.

It is an arithmetic number, because the mean of its divisors is an integer number (7507965330).

Almost surely, 2252431530120 is an apocalyptic number.

252431530120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252431530120 is an abundant number, since it is smaller than the sum of its proper divisors (468333141560).

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

252431530120 is a wasteful number, since it uses less digits than its factorization.

252431530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11708363 (or 11708352 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 252431530120 its reverse (21035134252), we get a palindrome (273466664372).

The spelling of 252431530120 in words is "two hundred fifty-two billion, four hundred thirty-one million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 11708327 23416654 46833308 58541635 81958289 93666616 117083270 128791597 163916578 234166540 257583194 327833156 409791445 468333080 515166388 573708023 643957985 655666312 819582890 901541179 1030332776 1147416046 1287915970 1639165780 1803082358 2294832092 2575831940 2868540115 3278331560 3606164716 4507705895 4589664184 5151663880 5737080230 6310788253 7212329432 9015411790 11474160460 12621576506 18030823580 22948320920 25243153012 31553941265 36061647160 50486306024 63107882530 126215765060 252431530120