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212101100211 = 3711131072772383
BaseRepresentation
bin1100010110001000110…
…1011111001010110011
3202021110200122021021010
43011202031133022303
511433340340201321
6241234330402003
721216030414360
oct3054215371263
9667420567233
10212101100211
1181a515a5970
1235134290303
13170023c11c0
14a3a12d9467
1557b5a15676
hex316235f2b3

212101100211 has 128 divisors (see below), whose sum is σ = 384799113216. Its totient is φ = 100350420480.

The previous prime is 212101100209. The next prime is 212101100227. The reversal of 212101100211 is 112001101212.

It is not a de Polignac number, because 212101100211 - 21 = 212101100209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212101100111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89004726 + ... + 89007108.

It is an arithmetic number, because the mean of its divisors is an integer number (3006243072).

Almost surely, 2212101100211 is an apocalyptic number.

212101100211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212101100211 is a deficient number, since it is larger than the sum of its proper divisors (172698013005).

212101100211 is a wasteful number, since it uses less digits than its factorization.

212101100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212101100211 its reverse (112001101212), we get a palindrome (324102201423).

The spelling of 212101100211 in words is "two hundred twelve billion, one hundred one million, one hundred thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 107 143 231 273 277 321 429 749 831 1001 1177 1391 1939 2247 2383 3003 3047 3531 3601 4173 5817 7149 8239 9141 9737 10803 15301 16681 21329 24717 25207 26213 29211 29639 30979 39611 45903 50043 63987 75621 78639 88917 92937 107107 118833 183491 207473 216853 254981 277277 321321 326029 340769 385307 550473 622419 650559 660091 764943 831831 978087 1022307 1155921 1784867 1980273 2282203 2385383 2697149 2804791 3314753 4238377 4620637 5354601 6846609 7156149 7261001 8091447 8414373 8581183 9944259 12715131 13861911 19633537 21783003 23203271 25743549 29668639 36462283 50827007 58900611 60068281 69609813 70629737 89005917 94393013 109386849 152481021 180204843 211889211 255235981 283179039 494408159 660751091 765707943 776927107 918186581 1483224477 1982253273 2330781321 2754559743 5438489749 6427306067 10100052391 16315469247 19281918201 30300157173 70700366737 212101100211