Search a number
-
+
21222211011100 = 2252111011255315217
BaseRepresentation
bin1001101001101001011100…
…10110010100001000011100
32210010211020101002212220221
410310310232112110020130
510240201042004323400
6113045203225451124
74320153113141221
oct464645626241034
983124211085827
1021222211011100
11684231a943550
12246900b640aa4
13bac327361858
14535236573948
1526c089981c1a
hex134d2e59421c

21222211011100 has 144 divisors (see below), whose sum is σ = 50743551017376. Its totient is φ = 7639649280000.

The previous prime is 21222211011061. The next prime is 21222211011193. The reversal of 21222211011100 is 111011222212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394630692 + ... + 1394645908.

It is an arithmetic number, because the mean of its divisors is an integer number (352385770954).

Almost surely, 221222211011100 is an apocalyptic number.

21222211011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222211011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25371775508688).

21222211011100 is an abundant number, since it is smaller than the sum of its proper divisors (29521340006276).

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

21222211011100 is a wasteful number, since it uses less digits than its factorization.

21222211011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27896 (or 27889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21222211011100 its reverse (111011222212), we get a palindrome (21333222233312).

The spelling of 21222211011100 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 12553 15217 22220 25106 27775 30434 50212 55550 60868 62765 76085 111100 125530 138083 152170 167387 251060 276166 304340 313825 334774 380425 552332 627650 669548 690415 760850 836935 1255300 1267853 1380830 1521700 1536917 1673870 2535706 2761660 3073834 3347740 3452075 4184675 5071412 6147668 6339265 6904150 7684585 8369350 12678530 13808300 13946383 15369170 16738700 16906087 25357060 27892766 30738340 31696325 33812174 38422925 55785532 63392650 67624348 69731915 76845850 84530435 126785300 139463830 153691700 169060870 191019001 278927660 338121740 348659575 382038002 422652175 697319150 764076004 845304350 955095005 1394638300 1690608700 1910190010 2101209011 3820380020 4202418022 4775475025 8404836044 9550950050 10506045055 19101900100 19292919101 21012090110 38585838202 42024180220 52530225275 77171676404 96464595505 105060450550 192929191010 210120901100 212222110111 385858382020 424444220222 482322977525 848888440444 964645955050 1061110550555 1929291910100 2122221101110 4244442202220 5305552752775 10611105505550 21222211011100