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68531103300 = 223521127176631
BaseRepresentation
bin111111110100110001…
…011010011001000100
320112220001100202102010
4333310301122121010
52110322430301200
651252135214220
74644156523662
oct776461323104
9215801322363
1068531103300
1127078026260
1211346b17370
1366020255ca
1434618cbc32
151bb16ac150
hexff4c5a644

68531103300 has 144 divisors (see below), whose sum is σ = 217110104064. Its totient is φ = 16552080000.

The previous prime is 68531103271. The next prime is 68531103317. The reversal of 68531103300 is 330113586.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855985 + ... + 932615.

It is an arithmetic number, because the mean of its divisors is an integer number (1507709056).

Almost surely, 268531103300 is an apocalyptic number.

68531103300 is a gapful number since it is divisible by the number (60) 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 68531103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108555052032).

68531103300 is an abundant number, since it is smaller than the sum of its proper divisors (148579000764).

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

68531103300 is a wasteful number, since it uses less digits than its factorization.

68531103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76930 (or 76923 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 68531103300 its reverse (330113586), we get a palindrome (68861216886).

The spelling of 68531103300 in words is "sixty-eight billion, five hundred thirty-one million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 271 275 300 330 542 550 660 813 825 1084 1100 1355 1626 1650 2710 2981 3252 3300 4065 5420 5962 6775 8130 8943 11924 13550 14905 16260 17886 20325 27100 29810 35772 40650 44715 59620 74525 76631 81300 89430 149050 153262 178860 223575 229893 298100 306524 383155 447150 459786 766310 842941 894300 919572 1149465 1532620 1685882 1915775 2298930 2528823 3371764 3831550 4214705 4597860 5057646 5747325 7663100 8429410 10115292 11494650 12644115 16858820 20767001 21073525 22989300 25288230 41534002 42147050 50576460 62301003 63220575 83068004 84294100 103835005 124602006 126441150 207670010 228437011 249204012 252882300 311505015 415340020 456874022 519175025 623010030 685311033 913748044 1038350050 1142185055 1246020060 1370622066 1557525075 2076700100 2284370110 2741244132 3115050150 3426555165 4568740220 5710925275 6230100300 6853110330 11421850550 13706220660 17132775825 22843701100 34265551650 68531103300