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4124221300100 = 225211107138125373
BaseRepresentation
bin111100000000111110101…
…111101101110110000100
3112121021100001222120112202
4330000332233231312010
51020032401123100400
612434350251334032
7603652022431646
oct74007657556604
915537301876482
104124221300100
111350088450a60
12567375451318
1323bbb27088c5
14103883164896
157243184b4d5
hex3c03ebedd84

4124221300100 has 144 divisors (see below), whose sum is σ = 9861925421376. Its totient is φ = 1484566464000.

The previous prime is 4124221300057. The next prime is 4124221300117. The reversal of 4124221300100 is 10031224214.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162531014 + ... + 162556386.

It is an arithmetic number, because the mean of its divisors is an integer number (68485593204).

Almost surely, 24124221300100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124221300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930962710688).

4124221300100 is an abundant number, since it is smaller than the sum of its proper divisors (5737704121276).

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

4124221300100 is a wasteful number, since it uses less digits than its factorization.

4124221300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26886 (or 26879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4124221300100 its reverse (10031224214), we get a palindrome (4134252524314).

The spelling of 4124221300100 in words is "four trillion, one hundred twenty-four billion, two hundred twenty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 1381 2140 2354 2675 2762 4708 5350 5524 5885 6905 10700 11770 13810 15191 23540 25373 27620 29425 30382 34525 50746 58850 60764 69050 75955 101492 117700 126865 138100 147767 151910 253730 279103 295534 303820 379775 507460 558206 591068 634325 738835 759550 1116412 1268650 1395515 1477670 1519100 1625437 2537300 2714911 2791030 2955340 3250874 3694175 5429822 5582060 6501748 6977575 7388350 8127185 10859644 13574555 13955150 14776700 16254370 27149110 27910300 29864021 32508740 35040113 40635925 54298220 59728042 67872775 70080226 81271850 119456084 135745550 140160452 149320105 162543700 175200565 271491100 298640210 350401130 385441243 597280420 700802260 746600525 770882486 876002825 1493201050 1541764972 1752005650 1927206215 2986402100 3504011300 3749292091 3854412430 7498584182 7708824860 9636031075 14997168364 18746460455 19272062150 37492920910 38544124300 41242213001 74985841820 82484426002 93732302275 164968852004 187464604550 206211065005 374929209100 412422130010 824844260020 1031055325025 2062110650050 4124221300100