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135131442120 = 233251722080301
BaseRepresentation
bin111110111011001110…
…1100010101111001000
3110220210112122111212200
41331312131202233020
54203222122121440
6142024543440200
712522453210003
oct1756635425710
9426715574780
10135131442120
11523441a3594
12222332b6060
13c98703540c
14677cbc453a
1537ad5d0c30
hex1f76762bc8

135131442120 has 96 divisors (see below), whose sum is σ = 465011160120. Its totient is φ = 33915340800.

The previous prime is 135131442119. The next prime is 135131442151. The reversal of 135131442120 is 21244131531.

135131442120 is a `hidden beast` number, since 1 + 3 + 513 + 144 + 2 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135051840036 + 79602084 = 367494^2 + 8922^2 .

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, 11034031 + ... + 11046270.

Almost surely, 2135131442120 is an apocalyptic number.

135131442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135131442120 is an abundant number, since it is smaller than the sum of its proper divisors (329879718000).

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

135131442120 is a wasteful number, since it uses less digits than its factorization.

135131442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22080335 (or 22080328 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 135131442120 its reverse (21244131531), we get a palindrome (156375573651).

The spelling of 135131442120 in words is "one hundred thirty-five billion, one hundred thirty-one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 22080301 44160602 66240903 88321204 110401505 132481806 176642408 198722709 220803010 264963612 331204515 375365117 397445418 441606020 529927224 662409030 750730234 794890836 883212040 993613545 1126095351 1324818060 1501460468 1589781672 1876825585 1987227090 2252190702 2649636120 3002920936 3378286053 3753651170 3974454180 4504381404 5630476755 6756572106 7507302340 7948908360 9008762808 11260953510 13513144212 15014604680 16891430265 22521907020 27026288424 33782860530 45043814040 67565721060 135131442120