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12110144420 = 225113110117581
BaseRepresentation
bin10110100011101001…
…00010001110100100
31011020222101002002102
423101310202032210
5144300144110140
65321402231232
7606046346333
oct132164421644
934228332072
1012110144420
115154951820
12241b7b5518
1311acc1a83a
1482c4cdd1a
154ad27ae15
hex2d1d223a4

12110144420 has 96 divisors (see below), whose sum is σ = 28923374592. Its totient is φ = 4219200000.

The previous prime is 12110144401. The next prime is 12110144447. The reversal of 12110144420 is 2444101121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12110144392 and 12110144401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680030 + ... + 697610.

It is an arithmetic number, because the mean of its divisors is an integer number (301285152).

Almost surely, 212110144420 is an apocalyptic number.

12110144420 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 12110144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461687296).

12110144420 is an abundant number, since it is smaller than the sum of its proper divisors (16813230172).

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

12110144420 is a wasteful number, since it uses less digits than its factorization.

12110144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17733 (or 17731 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12110144420 its reverse (2444101121), we get a palindrome (14554245541).

The spelling of 12110144420 in words is "twelve billion, one hundred ten million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 101 110 124 155 202 220 310 341 404 505 620 682 1010 1111 1364 1705 2020 2222 3131 3410 4444 5555 6262 6820 11110 12524 15655 17581 22220 31310 34441 35162 62620 68882 70324 87905 137764 172205 175810 193391 344410 351620 386782 545011 688820 773564 966955 1090022 1775681 1933910 2180044 2725055 3551362 3867820 5450110 5995121 7102724 8878405 10900220 11990242 17756810 19532491 23980484 29975605 35513620 39064982 55046111 59951210 78129964 97662455 110092222 119902420 195324910 220184444 275230555 390649820 550461110 605507221 1100922220 1211014442 2422028884 3027536105 6055072210 12110144420