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10030311100 = 22521712314793
BaseRepresentation
bin10010101011101101…
…00110011010111100
3221220000210121010201
421111312212122330
5131020224423400
64335144213244
7503363144335
oct112566463274
927800717121
1010030311100
114287938207
121b3b16a224
13c3b070c34
146b21b328c
153da89906a
hex255da66bc

10030311100 has 72 divisors (see below), whose sum is σ = 23069648448. Its totient is φ = 3772262400.

The previous prime is 10030311097. The next prime is 10030311119. The reversal of 10030311100 is 111303001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2090304 + ... + 2095096.

It is an arithmetic number, because the mean of its divisors is an integer number (320411784).

Almost surely, 210030311100 is an apocalyptic number.

10030311100 is a gapful number since it is divisible by the number (10) 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 10030311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534824224).

10030311100 is an abundant number, since it is smaller than the sum of its proper divisors (13039337348).

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

10030311100 is a wasteful number, since it uses less digits than its factorization.

10030311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10030311100 its reverse (111303001), we get a palindrome (10141614101).

The spelling of 10030311100 in words is "ten billion, thirty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1231 1700 2462 4793 4924 6155 9586 12310 19172 20927 23965 24620 30775 41854 47930 61550 81481 83708 95860 104635 119825 123100 162962 209270 239650 325924 407405 418540 479300 523175 814810 1046350 1629620 2037025 2092700 4074050 5900183 8148100 11800366 23600732 29500915 59001830 100303111 118003660 147504575 200606222 295009150 401212444 501515555 590018300 1003031110 2006062220 2507577775 5015155550 10030311100