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22012200100 = 225211176717569
BaseRepresentation
bin10100100000000001…
…111000010010100100
32002211001211121212101
4110200001320102210
5330040110400400
614040125501444
71406324420332
oct244001702244
962731747771
1022012200100
119376349810
124323a11884
1320ca534097
1410cb638b52
1588c73d56a
hex5200784a4

22012200100 has 144 divisors (see below), whose sum is σ = 56000790720. Its totient is φ = 7420723200.

The previous prime is 22012200097. The next prime is 22012200113. The reversal of 22012200100 is 100221022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244116 + ... + 1261684.

It is an arithmetic number, because the mean of its divisors is an integer number (388894380).

Almost surely, 222012200100 is an apocalyptic number.

22012200100 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 22012200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28000395360).

22012200100 is an abundant number, since it is smaller than the sum of its proper divisors (33988590620).

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

22012200100 is a wasteful number, since it uses less digits than its factorization.

22012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17678 (or 17671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22012200100 its reverse (100221022), we get a palindrome (22112421122).

The spelling of 22012200100 in words is "twenty-two billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 67 68 85 100 110 134 170 187 220 268 275 335 340 374 425 550 670 737 748 850 935 1100 1139 1340 1474 1675 1700 1870 2278 2948 3350 3685 3740 4556 4675 5695 6700 7370 9350 11390 12529 14740 17569 18425 18700 22780 25058 28475 35138 36850 50116 56950 62645 70276 73700 87845 113900 125290 175690 193259 250580 298673 313225 351380 386518 439225 597346 626450 773036 878450 966295 1177123 1194692 1252900 1493365 1756900 1932590 2354246 2986730 3285403 3865180 4708492 4831475 5885615 5973460 6570806 7466825 9662950 11771230 12948353 13141612 14933650 16427015 19325900 20011091 23542460 25896706 29428075 29867300 32854030 40022182 51793412 58856150 64741765 65708060 80044364 82135075 100055455 117712300 129483530 164270150 200110910 220122001 258967060 323708825 328540300 400221820 440244002 500277275 647417650 880488004 1000554550 1100610005 1294835300 2001109100 2201220010 4402440020 5503050025 11006100050 22012200100