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135133043112 = 233217463238451
BaseRepresentation
bin111110111011010001…
…1101001100110101000
3110220210122122212000200
41331312203221212220
54203223024334422
6142025042032200
712522502625424
oct1756643514650
9426718585020
10135133043112
1152345097421
1222233948660
13c987476052
14677d0bdb84
1537ad7ea2ac
hex1f768e99a8

135133043112 has 96 divisors (see below), whose sum is σ = 388352465280. Its totient is φ = 42302937600.

The previous prime is 135133043093. The next prime is 135133043131. The reversal of 135133043112 is 211340331531.

135133043112 is a `hidden beast` number, since 1 + 3 + 513 + 30 + 4 + 3 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (135133043093) and next prime (135133043131).

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, 447487 + ... + 685937.

It is an arithmetic number, because the mean of its divisors is an integer number (4045338180).

Almost surely, 2135133043112 is an apocalyptic number.

135133043112 is a gapful number since it is divisible by the number (12) 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 135133043112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194176232640).

135133043112 is an abundant number, since it is smaller than the sum of its proper divisors (253219422168).

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

135133043112 is a wasteful number, since it uses less digits than its factorization.

135133043112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238943 (or 238936 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 135133043112 its reverse (211340331531), we get a palindrome (346473374643).

The spelling of 135133043112 in words is "one hundred thirty-five billion, one hundred thirty-three million, forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 463 612 926 1224 1389 1852 2778 3704 4167 5556 7871 8334 11112 15742 16668 23613 31484 33336 47226 62968 70839 94452 141678 188904 238451 283356 476902 566712 715353 953804 1430706 1907608 2146059 2861412 4053667 4292118 5722824 8107334 8584236 12161001 16214668 17168472 24322002 32429336 36483003 48644004 72966006 97288008 110402813 145932012 220805626 291864024 331208439 441611252 662416878 883222504 993625317 1324833756 1876847821 1987250634 2649667512 3753695642 3974501268 5630543463 7507391284 7949002536 11261086926 15014782568 16891630389 22522173852 33783260778 45044347704 67566521556 135133043112