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2103014320200 = 2332524128496129
BaseRepresentation
bin11110100110100101011…
…010111110100001001000
321110001020200110112011200
4132212211122332201020
5233423433131221300
64250040023224200
7304636440531063
oct36464532764110
97401220415150
102103014320200
11740979838302
1229b6b32a8060
1312340c700421
1473b01da38da
1539a86b89200
hex1e9a56be848

2103014320200 has 144 divisors (see below), whose sum is σ = 7234882445700. Its totient is φ = 547125657600.

The previous prime is 2103014320151. The next prime is 2103014320217. The reversal of 2103014320200 is 20234103012.

2103014320200 is a `hidden beast` number, since 2 + 1 + 0 + 30 + 1 + 432 + 0 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 268620377796 + 1834393942404 = 518286^2 + 1354398^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14174265 + ... + 14321864.

Almost surely, 22103014320200 is an apocalyptic number.

2103014320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103014320200 is an abundant number, since it is smaller than the sum of its proper divisors (5131868125500).

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

2103014320200 is a wasteful number, since it uses less digits than its factorization.

2103014320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28496192 (or 28496180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2103014320200 its reverse (20234103012), we get a palindrome (2123248423212).

The spelling of 2103014320200 in words is "two trillion, one hundred three billion, fourteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 600 615 738 820 900 984 1025 1230 1476 1640 1800 1845 2050 2460 2952 3075 3690 4100 4920 6150 7380 8200 9225 12300 14760 18450 24600 36900 73800 28496129 56992258 85488387 113984516 142480645 170976774 227969032 256465161 284961290 341953548 427441935 512930322 569922580 683907096 712403225 854883870 1025860644 1139845160 1168341289 1282325805 1424806450 1709767740 2051721288 2137209675 2336682578 2564651610 2849612900 3419535480 3505023867 4274419350 4673365156 5129303220 5699225800 5841706445 6411629025 7010047734 8548838700 9346730312 10258606440 10515071601 11683412890 12823258050 14020095468 17097677400 17525119335 21030143202 23366825780 25646516100 28040190936 29208532225 35050238670 42060286404 46733651560 51293032200 52575358005 58417064450 70100477340 84120572808 87625596675 105150716010 116834128900 140200954680 175251193350 210301432020 233668257800 262876790025 350502386700 420602864040 525753580050 701004773400 1051507160100 2103014320200