Search a number
-
+
1105500140140 = 225117999763799
BaseRepresentation
bin10000000101100100111…
…100010111001001101100
310220200111012112211120211
4100011210330113021230
5121103031013441030
62203505412352204
7142604216101354
oct20054474271154
93820435484524
101105500140140
11396927010760
1215a305915664
138032c43a976
143b713b59b64
151db5379c12a
hex10164f1726c

1105500140140 has 96 divisors (see below), whose sum is σ = 2567271168000. Its totient is φ = 396507121920.

The previous prime is 1105500140113. The next prime is 1105500140197. The reversal of 1105500140140 is 410410055011.

It is a happy number.

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

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, 17295961 + ... + 17359759.

It is an arithmetic number, because the mean of its divisors is an integer number (26742408000).

Almost surely, 21105500140140 is an apocalyptic number.

1105500140140 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 1105500140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283635584000).

1105500140140 is an abundant number, since it is smaller than the sum of its proper divisors (1461771027860).

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

1105500140140 is a wasteful number, since it uses less digits than its factorization.

1105500140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64895 (or 64893 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 1105500140140 its reverse (410410055011), we get a palindrome (1515910195151).

The spelling of 1105500140140 in words is "one trillion, one hundred five billion, five hundred million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 997 1580 1738 1994 3476 3988 4345 4985 8690 9970 10967 17380 19940 21934 43868 54835 63799 78763 109670 127598 157526 219340 255196 315052 318995 393815 637990 701789 787630 866393 1275980 1403578 1575260 1732786 2807156 3465572 3508945 4331965 5040121 7017890 8663930 10080242 14035780 17327860 20160484 25200605 50401210 55441331 63607603 100802420 110882662 127215206 221765324 254430412 277206655 318038015 554413310 636076030 699683633 1108826620 1272152060 1399367266 2798734532 3498418165 5025000637 6996836330 10050001274 13993672660 20100002548 25125003185 50250006370 55275007007 100500012740 110550014014 221100028028 276375035035 552750070070 1105500140140