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10243111120 = 2451126943271
BaseRepresentation
bin10011000101000100…
…10111100011010000
3222102212012221212221
421202202113203100
5131434214023440
64412225230424
7511556002504
oct114242274320
928385187787
1010243111120
114386a72aa0
121b9a492414
13c7318a3c8
146d2568304
153ee3d0d4a
hex2628978d0

10243111120 has 80 divisors (see below), whose sum is σ = 26077438080. Its totient is φ = 3710835200.

The previous prime is 10243111097. The next prime is 10243111129. The reversal of 10243111120 is 2111134201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10243111094 and 10243111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215085 + ... + 258355.

It is an arithmetic number, because the mean of its divisors is an integer number (325967976).

Almost surely, 210243111120 is an apocalyptic number.

10243111120 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 10243111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038719040).

10243111120 is an abundant number, since it is smaller than the sum of its proper divisors (15834326960).

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

10243111120 is a wasteful number, since it uses less digits than its factorization.

10243111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43564 (or 43558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10243111120 its reverse (2111134201), we get a palindrome (12354245321).

The spelling of 10243111120 in words is "ten billion, two hundred forty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 269 440 538 880 1076 1345 2152 2690 2959 4304 5380 5918 10760 11836 14795 21520 23672 29590 43271 47344 59180 86542 118360 173084 216355 236720 346168 432710 475981 692336 865420 951962 1730840 1903924 2379905 3461680 3807848 4759810 7615696 9519620 11639899 19039240 23279798 38078480 46559596 58199495 93119192 116398990 128038889 186238384 232797980 256077778 465595960 512155556 640194445 931191920 1024311112 1280388890 2048622224 2560777780 5121555560 10243111120