Search a number
-
+
2105131500520 = 2353765310612053
BaseRepresentation
bin11110101000100011100…
…111011000001111101000
321110020201020022102120121
4132220203213120033220
5233442302131004040
64251030053533024
7305043056341336
oct36504347301750
97406636272517
102105131500520
11741865940204
1229bba4344174
13123689225149
1473c63242b56
1539b5c996c4a
hex1ea239d83e8

2105131500520 has 128 divisors (see below), whose sum is σ = 4878977444640. Its totient is φ = 816870666240.

The previous prime is 2105131500499. The next prime is 2105131500523. The reversal of 2105131500520 is 250051315012.

It can be written as a sum of positive squares in 16 ways, for example, as 478634283556 + 1626497216964 = 691834^2 + 1275342^2 .

It is not an unprimeable number, because it can be changed into a prime (2105131500523) 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, 1025391814 + ... + 1025393866.

Almost surely, 22105131500520 is an apocalyptic number.

2105131500520 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 2105131500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439488722320).

2105131500520 is an abundant number, since it is smaller than the sum of its proper divisors (2773845944120).

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

2105131500520 is a wasteful number, since it uses less digits than its factorization.

2105131500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 2105131500520 its reverse (250051315012), we get a palindrome (2355182815532).

The spelling of 2105131500520 in words is "two trillion, one hundred five billion, one hundred thirty-one million, five hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 653 740 1061 1306 1480 2053 2122 2612 3265 4106 4244 5224 5305 6530 8212 8488 10265 10610 13060 16424 20530 21220 24161 26120 39257 41060 42440 48322 75961 78514 82120 96644 120805 151922 157028 193288 196285 241610 303844 314056 379805 392570 483220 607688 692833 759610 785140 966440 1340609 1385666 1519220 1570280 2178233 2681218 2771332 3038440 3464165 4356466 5362436 5542664 6703045 6928330 8712932 10724872 10891165 13406090 13856660 17425864 21782330 25634821 26812180 27713320 43564660 49602533 51269642 53624360 80594621 87129320 99205066 102539284 128174105 161189242 198410132 205078568 248012665 256348210 322378484 396820264 402973105 496025330 512696420 644756968 805946210 992050660 1025392840 1422386149 1611892420 1984101320 2844772298 3223784840 5689544596 7111930745 11379089192 14223861490 28447722980 52628287513 56895445960 105256575026 210513150052 263141437565 421026300104 526282875130 1052565750260 2105131500520