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135730051110 = 23352329753679
BaseRepresentation
bin111111001101000100…
…1000011100000100110
3110222100021001000001000
41332122021003200212
54210433343113420
6142204210014130
712543342253503
oct1763211034046
9428307030030
10135730051110
1152621091365
122237b877346
13ca51064b14
1467d84c84aa
1537e5e26690
hex1f9a243826

135730051110 has 128 divisors (see below), whose sum is σ = 390707712000. Its totient is φ = 33427126656.

The previous prime is 135730051103. The next prime is 135730051111. The reversal of 135730051110 is 11150037531.

135730051110 is a `hidden beast` number, since 1 + 357 + 300 + 5 + 1 + 1 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135730051111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196750 + ... + 556929.

It is an arithmetic number, because the mean of its divisors is an integer number (3052404000).

Almost surely, 2135730051110 is an apocalyptic number.

135730051110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135730051110 is an abundant number, since it is smaller than the sum of its proper divisors (254977660890).

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

135730051110 is a wasteful number, since it uses less digits than its factorization.

135730051110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753747 (or 753741 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

Adding to 135730051110 its reverse (11150037531), we get a palindrome (146880088641).

The spelling of 135730051110 in words is "one hundred thirty-five billion, seven hundred thirty million, fifty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 87 90 115 135 138 145 174 207 230 261 270 290 345 414 435 522 621 667 690 783 870 1035 1242 1305 1334 1566 2001 2070 2610 3105 3335 3915 4002 6003 6210 6670 7830 10005 12006 18009 20010 30015 36018 60030 90045 180090 753679 1507358 2261037 3768395 4522074 6783111 7536790 11305185 13566222 17334617 20349333 21856691 22610370 33915555 34669234 40698666 43713382 52003851 65570073 67831110 86673085 101746665 104007702 109283455 131140146 156011553 173346170 196710219 203493330 218566910 260019255 312023106 327850365 393420438 468034659 502703893 520038510 590130657 655700730 780057765 936069318 983551095 1005407786 1180261314 1508111679 1560115530 1967102190 2340173295 2513519465 2950653285 3016223358 4524335037 4680346590 5027038930 5901306570 7540558395 9048670074 13573005111 15081116790 22621675185 27146010222 45243350370 67865025555 135730051110