Search a number
-
+
2103101322140 = 2257134493257189
BaseRepresentation
bin11110100110101010100…
…110110111001110011100
321110001110202011200101202
4132212222212313032130
5233424122414302030
64250052412055032
7304641545166050
oct36465246671634
97401422150352
102103101322140
11740a13961135
1229b718464478
13123424742870
1473b0d76dc60
1539a8e622745
hex1e9aa9b739c

2103101322140 has 96 divisors (see below), whose sum is σ = 5436938989440. Its totient is φ = 665446173696.

The previous prime is 2103101322083. The next prime is 2103101322181. The reversal of 2103101322140 is 412231013012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 8048666 + ... + 8305854.

It is an arithmetic number, because the mean of its divisors is an integer number (56634781140).

Almost surely, 22103101322140 is an apocalyptic number.

2103101322140 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 2103101322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718469494720).

2103101322140 is an abundant number, since it is smaller than the sum of its proper divisors (3333837667300).

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

2103101322140 is a wasteful number, since it uses less digits than its factorization.

2103101322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261711 (or 261709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2103101322140 its reverse (412231013012), we get a palindrome (2515332335152).

The spelling of 2103101322140 in words is "two trillion, one hundred three billion, one hundred one million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 4493 8986 17972 22465 31451 44930 58409 62902 89860 116818 125804 157255 233636 257189 292045 314510 408863 514378 584090 629020 817726 1028756 1168180 1285945 1635452 1800323 2044315 2571890 3343457 3600646 4088630 5143780 6686914 7201292 8177260 9001615 13373828 16717285 18003230 23404199 33434570 36006460 46808398 66869140 93616796 117020995 234041990 468083980 1155550177 2311100354 4622200708 5777750885 8088851239 11555501770 15022152301 16177702478 23111003540 30044304602 32355404956 40444256195 60088609204 75110761505 80888512390 105155066107 150221523010 161777024780 210310132214 300443046020 420620264428 525775330535 1051550661070 2103101322140