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2124124420 = 22511109283313
BaseRepresentation
bin111111010011011…
…1001000100000100
312111000220200220211
41332212321010010
513322233440140
6550435205204
7103431521365
oct17646710404
95430820824
102124124420
119a0016130
124b3446804
1327b0b6672
14162169b6c
15c67302ea
hex7e9b9104

2124124420 has 96 divisors (see below), whose sum is σ = 4943917440. Its totient is φ = 760181760.

The previous prime is 2124124369. The next prime is 2124124421. The reversal of 2124124420 is 244214212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2124124391 and 2124124400.

It is not an unprimeable number, because it can be changed into a prime (2124124421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6786184 + ... + 6786496.

It is an arithmetic number, because the mean of its divisors is an integer number (51499140).

Almost surely, 22124124420 is an apocalyptic number.

2124124420 is a gapful number since it is divisible by the number (20) 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 2124124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471958720).

2124124420 is an abundant number, since it is smaller than the sum of its proper divisors (2819793020).

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

2124124420 is a wasteful number, since it uses less digits than its factorization.

2124124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2124124420 is about 46088.2243094698. The cubic root of 2124124420 is about 1285.4641936020.

Adding to 2124124420 its reverse (244214212), we get a palindrome (2368338632).

The spelling of 2124124420 in words is "two billion, one hundred twenty-four million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 283 313 436 545 566 626 1090 1132 1199 1252 1415 1565 2180 2398 2830 3113 3130 3443 4796 5660 5995 6226 6260 6886 11990 12452 13772 15565 17215 23980 30847 31130 34117 34430 61694 62260 68234 68860 88579 123388 136468 154235 170585 177158 308470 339317 341170 354316 375287 442895 616940 678634 682340 750574 885790 974369 1357268 1501148 1696585 1771580 1876435 1948738 3393170 3752870 3897476 4871845 6786340 7505740 9655111 9743690 19310222 19487380 38620444 48275555 96551110 106206221 193102220 212412442 424824884 531031105 1062062210 2124124420