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211201201002000 = 24353113200018197
BaseRepresentation
bin110000000001011000011100…
…100011111101011000010000
31000200210122012211110122101210
4300001120130203331120100
5210140310024424031000
62025104254200500120
762325532435015536
oct6001303443753020
91020718184418353
10211201201002000
1161327a20a63aa0
121b83025aa7a640
1390b0259787671
143a2229a98c156
151963c64355350
hexc0161c8fd610

211201201002000 has 160 divisors (see below), whose sum is σ = 742813824265344. Its totient is φ = 51200291136000.

The previous prime is 211201201001983. The next prime is 211201201002107. The reversal of 211201201002000 is 200102102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599943099 + ... + 1600075098.

Almost surely, 2211201201002000 is an apocalyptic number.

211201201002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201201002000 is an abundant number, since it is smaller than the sum of its proper divisors (531612623263344).

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

211201201002000 is a wasteful number, since it uses less digits than its factorization.

211201201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200018234 (or 3200018218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211201201002000 its reverse (200102102112), we get a palindrome (211401303104112).

The spelling of 211201201002000 in words is "two hundred eleven trillion, two hundred one billion, two hundred one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3200018197 6400036394 9600054591 12800072788 16000090985 19200109182 25600145576 32000181970 35200200167 38400218364 48000272955 51200291152 64000363940 70400400334 76800436728 80000454925 96000545910 105600600501 128000727880 140800800668 153600873456 160000909850 176001000835 192001091820 211201201002 240001364775 256001455760 281601601336 320001819700 352002001670 384002183640 400002274625 422402402004 480002729550 528003002505 563203202672 640003639400 704004003340 768004367280 800004549250 844804804008 880005004175 960005459100 1056006005010 1200006823875 1280007278800 1408008006680 1600009098500 1689609608016 1760010008350 1920010918200 2112012010020 2400013647750 2640015012525 2816016013360 3200018197000 3520020016700 3840021836400 4224024020040 4400025020875 4800027295500 5280030025050 6400036394000 7040040033400 8448048040080 8800050041750 9600054591000 10560060050100 13200075062625 14080080066800 17600100083500 19200109182000 21120120100200 26400150125250 35200200167000 42240240200400 52800300250500 70400400334000 105600600501000 211201201002000