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1243112420 = 2251117379877
BaseRepresentation
bin100101000011000…
…0110001111100100
310012122010122122202
41022012012033210
510021214044140
6323204114032
742543165314
oct11206061744
93178118582
101243112420
11588782840
122a8395918
1316a70a8a4
14bb153444
1574204915
hex4a1863e4

1243112420 has 96 divisors (see below), whose sum is σ = 3026782080. Its totient is φ = 423843840.

The previous prime is 1243112419. The next prime is 1243112443. The reversal of 1243112420 is 242113421.

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 = 1243112392 and 1243112401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417022 + ... + 1417898.

It is an arithmetic number, because the mean of its divisors is an integer number (31528980).

Almost surely, 21243112420 is an apocalyptic number.

1243112420 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 1243112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513391040).

1243112420 is an abundant number, since it is smaller than the sum of its proper divisors (1783669660).

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

1243112420 is a wasteful number, since it uses less digits than its factorization.

1243112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1243112420 is about 35257.7994208374. The cubic root of 1243112420 is about 1075.2351877704.

Adding to 1243112420 its reverse (242113421), we get a palindrome (1485225841).

The spelling of 1243112420 in words is "one billion, two hundred forty-three million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 379 748 758 877 935 1516 1754 1870 1895 3508 3740 3790 4169 4385 6443 7580 8338 8770 9647 12886 14909 16676 17540 19294 20845 25772 29818 32215 38588 41690 48235 59636 64430 70873 74545 83380 96470 128860 141746 149090 163999 192940 283492 298180 327998 332383 354365 655996 664766 708730 819995 1329532 1417460 1639990 1661915 3279980 3323830 3656213 5650511 6647660 7312426 11301022 14624852 18281065 22602044 28252555 36562130 56505110 62155621 73124260 113010220 124311242 248622484 310778105 621556210 1243112420