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300320111100 = 223522967750989
BaseRepresentation
bin1000101111011000111…
…10010011100111111100
31001201011211021100121210
410113230132103213330
514410023422023400
6345544250124420
730461132553012
oct4275436234774
91051154240553
10300320111100
11106401967529
124a254720710
132242124b569
141076d86c8b2
157c2a841950
hex45ec7939fc

300320111100 has 144 divisors (see below), whose sum is σ = 900234568800. Its totient is φ = 77208069120.

The previous prime is 300320111099. The next prime is 300320111107. The reversal of 300320111100 is 1111023003.

It is a super-2 number, since 2×3003201111002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300320111107) by changing a digit.

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, 5864406 + ... + 5915394.

It is an arithmetic number, because the mean of its divisors is an integer number (6251628950).

Almost surely, 2300320111100 is an apocalyptic number.

300320111100 is a gapful number since it is divisible by the number (30) 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 300320111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450117284400).

300320111100 is an abundant number, since it is smaller than the sum of its proper divisors (599914457700).

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

300320111100 is a wasteful number, since it uses less digits than its factorization.

300320111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51712 (or 51705 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 300320111100 its reverse (1111023003), we get a palindrome (301431134103).

The spelling of 300320111100 in words is "three hundred billion, three hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 677 725 870 1354 1450 1740 2031 2175 2708 2900 3385 4062 4350 6770 8124 8700 10155 13540 16925 19633 20310 33850 39266 40620 50775 50989 58899 67700 78532 98165 101550 101978 117798 152967 196330 203100 203956 235596 254945 294495 305934 392660 490825 509890 588990 611868 764835 981650 1019780 1177980 1274725 1472475 1478681 1529670 1963300 2549450 2944950 2957362 3059340 3824175 4436043 5098900 5889900 5914724 7393405 7648350 8872086 14786810 15296700 17744172 22180215 29573620 34519553 36967025 44360430 69039106 73934050 88720860 103558659 110901075 138078212 147868100 172597765 207117318 221802150 345195530 414234636 443604300 517793295 690391060 862988825 1001067037 1035586590 1725977650 2002134074 2071173180 2588966475 3003201111 3451955300 4004268148 5005335185 5177932950 6006402222 10010670370 10355865900 12012804444 15016005555 20021340740 25026675925 30032011110 50053351850 60064022220 75080027775 100106703700 150160055550 300320111100