Search a number
-
+
22101101100210 = 23511293736191461
BaseRepresentation
bin1010000011001110100000…
…10001111011110010110010
32220020211210201212101101210
411001213100101323302302
510344101023340201320
6115001034454340550
74440515613503106
oct501472021736262
986224721771353
1022101101100210
11705102a43a8a0
12258b41205a756
13c44181502212
145659b00b5906
15284d78aa00e0
hex1419d047bcb2

22101101100210 has 128 divisors (see below), whose sum is σ = 60020527944960. Its totient is φ = 5159219788800.

The previous prime is 22101101100161. The next prime is 22101101100229. The reversal of 22101101100210 is 1200110110122.

It is a super-3 number, since 3×221011011002103 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473880 + ... + 6665340.

It is an arithmetic number, because the mean of its divisors is an integer number (468910374570).

Almost surely, 222101101100210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101101100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30010263972480).

22101101100210 is an abundant number, since it is smaller than the sum of its proper divisors (37919426844750).

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

22101101100210 is a wasteful number, since it uses less digits than its factorization.

22101101100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191884.

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

Adding to 22101101100210 its reverse (1200110110122), we get a palindrome (23301211210332).

The spelling of 22101101100210 in words is "twenty-two trillion, one hundred one billion, one hundred one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 373 435 638 746 870 957 1119 1595 1865 1914 2238 3190 3730 4103 4785 5595 8206 9570 10817 11190 12309 20515 21634 24618 32451 41030 54085 61545 64902 108170 118987 123090 162255 237974 324510 356961 594935 713922 1189870 1784805 3569610 6191461 12382922 18574383 30957305 37148766 61914610 68106071 92871915 136212142 179552369 185743830 204318213 340530355 359104738 408636426 538657107 681060710 897761845 1021591065 1077314214 1795523690 1975076059 2043182130 2309414953 2693285535 3950152118 4618829906 5386571070 5925228177 6928244859 9875380295 11547074765 11850456354 13856489718 19750760590 23094149530 25403564483 29626140885 34641224295 50807128966 59252281770 66973033637 69282448590 76210693449 127017822415 133946067274 152421386898 200919100911 254035644830 334865168185 381053467245 401838201822 669730336370 736703370007 762106934490 1004595504555 1473406740014 2009191009110 2210110110021 3683516850035 4420220220042 7367033700070 11050550550105 22101101100210