Search a number
-
+
2101436220800 = 2752793814117
BaseRepresentation
bin11110100101000111010…
…111000000010110000000
321102220011200222202202202
4132211013113000112000
5233412220133031200
64245215251132332
7304552356104150
oct36450727002600
97386150882682
102101436220800
11740239a64924
1229b3328a40a8
1312321a794bb7
14739d2570760
15399e33641d5
hex1e9475c0580

2101436220800 has 96 divisors (see below), whose sum is σ = 5932804822320. Its totient is φ = 720492410880.

The previous prime is 2101436220733. The next prime is 2101436220847. The reversal of 2101436220800 is 80226341012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46884659 + ... + 46929458.

Almost surely, 22101436220800 is an apocalyptic number.

2101436220800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101436220800 is an abundant number, since it is smaller than the sum of its proper divisors (3831368601520).

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

2101436220800 is an equidigital number, since it uses as much as digits as its factorization.

2101436220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93814148 (or 93814131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 2101436220800 in words is "two trillion, one hundred one billion, four hundred thirty-six million, two hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 93814117 187628234 375256468 469070585 656698819 750512936 938141170 1313397638 1501025872 1876282340 2345352925 2626795276 3002051744 3283494095 3752564680 4690705850 5253590552 6004103488 6566988190 7505129360 9381411700 10507181104 12008206976 13133976380 15010258720 16417470475 18762823400 21014362208 26267952760 30020517440 32834940950 37525646800 42028724416 52535905520 60041034880 65669881900 75051293600 84057448832 105071811040 131339763800 150102587200 210143622080 262679527600 300205174400 420287244160 525359055200 1050718110400 2101436220800