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135354434120 = 23529116684857
BaseRepresentation
bin111111000001111000…
…0001100001001001000
3110221101002020200101122
41332003300030021020
54204201213342440
6142103031134412
712531131464313
oct1760360141110
9427332220348
10135354434120
115244905a7a4
1222295b14408
13c9c12ac949
1467a066d97a
1537c2e7c7b5
hex1f83c0c248

135354434120 has 32 divisors (see below), whose sum is σ = 315049116600. Its totient is φ = 52274815488.

The previous prime is 135354434071. The next prime is 135354434143. The reversal of 135354434120 is 21434453531.

It can be written as a sum of positive squares in 4 ways, for example, as 85080722596 + 50273711524 = 291686^2 + 224218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58341269 + ... + 58343588.

Almost surely, 2135354434120 is an apocalyptic number.

135354434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135354434120 is an abundant number, since it is smaller than the sum of its proper divisors (179694682480).

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

135354434120 is a wasteful number, since it uses less digits than its factorization.

135354434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116684897 (or 116684893 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 135354434120 its reverse (21434453531), we get a palindrome (156788887651).

The spelling of 135354434120 in words is "one hundred thirty-five billion, three hundred fifty-four million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 116684857 233369714 466739428 583424285 933478856 1166848570 2333697140 3383860853 4667394280 6767721706 13535443412 16919304265 27070886824 33838608530 67677217060 135354434120