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12424102110 = 2335724232713
BaseRepresentation
bin10111001001000100…
…01100000011011110
31012001212010210002000
423210202030003132
5200421032231420
65412455343130
7616611061020
oct134442140336
935055123060
1012424102110
1152a6099892
1224a8981aa6
13122cc94714
1485c098010
154caae5690
hex2e488c0de

12424102110 has 128 divisors (see below), whose sum is σ = 37893519360. Its totient is φ = 2837576448.

The previous prime is 12424102099. The next prime is 12424102139. The reversal of 12424102110 is 1120142421.

12424102110 is a `hidden beast` number, since 1 + 2 + 42 + 410 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4578114 + ... + 4580826.

It is an arithmetic number, because the mean of its divisors is an integer number (296043120).

Almost surely, 212424102110 is an apocalyptic number.

12424102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946759680).

12424102110 is an abundant number, since it is smaller than the sum of its proper divisors (25469417250).

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

12424102110 is a wasteful number, since it uses less digits than its factorization.

12424102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12424102110 its reverse (1120142421), we get a palindrome (13544244531).

The spelling of 12424102110 in words is "twelve billion, four hundred twenty-four million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2423 2713 4846 5426 7269 8139 12115 13565 14538 16278 16961 18991 21807 24230 24417 27130 33922 36345 37982 40695 43614 48834 50883 56973 65421 72690 73251 81390 84805 94955 101766 109035 113946 122085 130842 146502 152649 169610 170919 189910 218070 244170 254415 284865 305298 327105 341838 366255 457947 508830 512757 569730 654210 732510 763245 854595 915894 1025514 1526490 1709190 2289735 2563785 4579470 5127570 6573599 13147198 19720797 32867995 39441594 46015193 59162391 65735990 92030386 98603985 118324782 138045579 177487173 197207970 230075965 276091158 295811955 354974346 414136737 460151930 591623910 690227895 828273474 887435865 1242410211 1380455790 1774871730 2070683685 2484820422 4141367370 6212051055 12424102110