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54141353100 = 223352191055387
BaseRepresentation
bin110010011011000100…
…110111110010001100
312011202012111201002000
4302123010313302030
51341340141244400
640512221032300
73624446623332
oct623304676214
9164665451060
1054141353100
1120a63422a1a
12a5ab9b5690
13514aa53613
14289875bb52
15161d23c600
hexc9b137c8c

54141353100 has 144 divisors (see below), whose sum is σ = 183215356800. Its totient is φ = 13677802560.

The previous prime is 54141353089. The next prime is 54141353137. The reversal of 54141353100 is 135314145.

It is a happy number.

54141353100 is a `hidden beast` number, since 541 + 4 + 13 + 5 + 3 + 100 = 666.

54141353100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541413531002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476394 + ... + 578993.

Almost surely, 254141353100 is an apocalyptic number.

54141353100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54141353100 is an abundant number, since it is smaller than the sum of its proper divisors (129074003700).

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

54141353100 is a wasteful number, since it uses less digits than its factorization.

54141353100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055429 (or 1055416 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 54141353100 its reverse (135314145), we get a palindrome (54276667245).

The spelling of 54141353100 in words is "fifty-four billion, one hundred forty-one million, three hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 1055387 2110774 3166161 4221548 5276935 6332322 9498483 10553870 12664644 15830805 18996966 20052353 21107740 26384675 28495449 31661610 37993932 40104706 47492415 52769350 56990898 60157059 63323220 79154025 80209412 94984830 100261765 105538700 113981796 120314118 142477245 158308050 180471177 189969660 200523530 237462075 240628236 284954490 300785295 316616100 360942354 401047060 474924150 501308825 541413531 569908980 601570590 712386225 721884708 902355885 949848300 1002617650 1082827062 1203141180 1424772450 1503926475 1804711770 2005235300 2165654124 2707067655 2849544900 3007852950 3609423540 4511779425 5414135310 6015705900 9023558850 10828270620 13535338275 18047117700 27070676550 54141353100