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52103054000 = 2453197191907
BaseRepresentation
bin110000100001100101…
…011000001010110000
311222111011002101100202
4300201211120022300
51323201340212000
635534045134332
73523106436344
oct604145301260
9158434071322
1052103054000
11201078a7708
12a12125a3a8
134bb468998a
142743b73624
15154e311dd5
hexc219582b0

52103054000 has 160 divisors (see below), whose sum is σ = 132870067200. Its totient is φ = 19706515200.

The previous prime is 52103053969. The next prime is 52103054009. The reversal of 52103054000 is 45030125.

It is a super-2 number, since 2×521030540002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (52103054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27321047 + ... + 27322953.

It is an arithmetic number, because the mean of its divisors is an integer number (830437920).

Almost surely, 252103054000 is an apocalyptic number.

52103054000 is a gapful number since it is divisible by the number (50) 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 52103054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66435033600).

52103054000 is an abundant number, since it is smaller than the sum of its proper divisors (80767013200).

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

52103054000 is a wasteful number, since it uses less digits than its factorization.

52103054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 52103054000 its reverse (45030125), we get a palindrome (52148084125).

The spelling of 52103054000 in words is "fifty-two billion, one hundred three million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 719 760 950 1000 1438 1520 1900 1907 2000 2375 2876 3595 3800 3814 4750 5752 7190 7600 7628 9500 9535 11504 13661 14380 15256 17975 19000 19070 27322 28760 30512 35950 36233 38000 38140 47675 54644 57520 68305 71900 72466 76280 89875 95350 109288 136610 143800 144932 152560 179750 181165 190700 218576 238375 273220 287600 289864 341525 359500 362330 381400 476750 546440 579728 683050 719000 724660 762800 905825 953500 1092880 1366100 1371133 1438000 1449320 1707625 1811650 1907000 2732200 2742266 2898640 3415250 3623300 3814000 4529125 5464400 5484532 6830500 6855665 7246600 9058250 10969064 13661000 13711330 14493200 18116500 21938128 26051527 27322000 27422660 34278325 36233000 52103054 54845320 68556650 72466000 104206108 109690640 130257635 137113300 171391625 208412216 260515270 274226600 342783250 416824432 521030540 548453200 651288175 685566500 1042061080 1302576350 1371133000 2084122160 2605152700 2742266000 3256440875 5210305400 6512881750 10420610800 13025763500 26051527000 52103054000