Search a number
-
+
211210022110208 = 2101147398955101
BaseRepresentation
bin110000000001100000101010…
…010101110100010000000000
31000200211110222120221101000012
4300001200222111310100000
5210140431111130011313
62025112313351444052
762326264146135302
oct6001405225642000
91020743876841005
10211210022110208
116133073827a170
121b831b01086628
1390b1034161314
143a22896317972
1519640cd996da8
hexc0182a574400

211210022110208 has 88 divisors (see below), whose sum is σ = 470396790025344. Its totient is φ = 93961905152000.

The previous prime is 211210022110207. The next prime is 211210022110279. The reversal of 211210022110208 is 802011220012112.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (211210022110207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198948143 + ... + 200006958.

Almost surely, 2211210022110208 is an apocalyptic number.

It is an amenable number.

211210022110208 is an abundant number, since it is smaller than the sum of its proper divisors (259186767915136).

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

211210022110208 is a wasteful number, since it uses less digits than its factorization.

211210022110208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398955179 (or 398955161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 211210022110208 in words is "two hundred eleven trillion, two hundred ten billion, twenty-two million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1024 1034 1408 1504 2068 2816 3008 4136 5632 6016 8272 11264 12032 16544 24064 33088 48128 66176 132352 264704 529408 398955101 797910202 1595820404 3191640808 4388506111 6383281616 8777012222 12766563232 17554024444 18750889747 25533126464 35108048888 37501779494 51066252928 70216097776 75003558988 102132505856 140432195552 150007117976 204265011712 206259787217 280864391104 300014235952 408530023424 412519574434 561728782208 600028471904 825039148868 1123457564416 1200056943808 1650078297736 2246915128832 2400113887616 3300156595472 4493830257664 4800227775232 6600313190944 9600455550464 13200626381888 19200911100928 26401252763776 52802505527552 105605011055104 211210022110208