Search a number
-
+
1024043250120 = 2335117331058377
BaseRepresentation
bin11101110011011011011…
…10111111000111001000
310121220020100001002012020
432321231232333013020
5113234220033000440
62102234452444440
7133661514002112
oct16715556770710
93556210032166
101024043250120
11365326799640
12146572019720
137574a528b67
14377c77003b2
151b98744c3d0
hexee6dbbf1c8

1024043250120 has 128 divisors (see below), whose sum is σ = 3355989632640. Its totient is φ = 247913994240.

The previous prime is 1024043250067. The next prime is 1024043250137. The reversal of 1024043250120 is 210523404201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 438372 + ... + 1496748.

It is an arithmetic number, because the mean of its divisors is an integer number (26218669005).

Almost surely, 21024043250120 is an apocalyptic number.

1024043250120 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 1024043250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677994816320).

1024043250120 is an abundant number, since it is smaller than the sum of its proper divisors (2331946382520).

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

1024043250120 is a wasteful number, since it uses less digits than its factorization.

1024043250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059135 (or 1059131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1024043250120 its reverse (210523404201), we get a palindrome (1234566654321).

The spelling of 1024043250120 in words is "one trillion, twenty-four billion, forty-three million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 733 1320 1466 2199 2932 3665 4398 5864 7330 8063 8796 10995 14660 16126 17592 21990 24189 29320 32252 40315 43980 48378 64504 80630 87960 96756 120945 161260 193512 241890 322520 483780 967560 1058377 2116754 3175131 4233508 5291885 6350262 8467016 10583770 11642147 12700524 15875655 21167540 23284294 25401048 31751310 34926441 42335080 46568588 58210735 63502620 69852882 93137176 116421470 127005240 139705764 174632205 232842940 279411528 349264410 465685880 698528820 775790341 1397057640 1551580682 2327371023 3103161364 3878951705 4654742046 6206322728 7757903410 8533693751 9309484092 11636855115 15515806820 17067387502 18618968184 23273710230 25601081253 31031613640 34134775004 42668468755 46547420460 51202162506 68269550008 85336937510 93094840920 102404325012 128005406265 170673875020 204808650024 256010812530 341347750040 512021625060 1024043250120