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2210010100221 = 37111011395231303
BaseRepresentation
bin100000001010001110110…
…111011111000111111101
321211021102101220022111010
4200022032313133013331
5242202100041201341
64411133054145433
7315445052621520
oct40121667370775
97737371808433
102210010100221
117822950a5490
122b8393ab2279
13130531699071
1478d721a2bb7
153c74a157716
hex2028eddf1fd

2210010100221 has 128 divisors (see below), whose sum is σ = 3746867281920. Its totient is φ = 1125490464000.

The previous prime is 2210010100217. The next prime is 2210010100223. The reversal of 2210010100221 is 1220010100122.

It is not a de Polignac number, because 2210010100221 - 22 = 2210010100217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210010100197 and 2210010100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210010100223) 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, 1696093056 + ... + 1696094358.

It is an arithmetic number, because the mean of its divisors is an integer number (29272400640).

Almost surely, 22210010100221 is an apocalyptic number.

2210010100221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210010100221 is a deficient number, since it is larger than the sum of its proper divisors (1536857181699).

2210010100221 is a wasteful number, since it uses less digits than its factorization.

2210010100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210010100221 its reverse (1220010100122), we get a palindrome (3430020200343).

Subtracting from 2210010100221 its reverse (1220010100122), we obtain a palindrome (990000000099).

The spelling of 2210010100221 in words is "two trillion, two hundred ten billion, ten million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 101 139 231 303 417 523 707 973 1111 1303 1529 1569 2121 2919 3333 3661 3909 4587 5753 7777 9121 10703 10983 14039 14333 17259 23331 27363 32109 40271 42117 42999 52823 72697 98273 100331 120813 131603 154429 158469 181117 218091 294819 300993 369761 394809 463287 508879 543351 581053 681469 799667 921221 1081003 1109283 1267819 1447633 1526637 1743159 1992287 2044407 2399001 2763663 3243009 3803457 4067371 4342899 4770283 5597669 5976861 7342397 7496159 10133431 12202113 13946009 14310849 16793007 18292817 22027191 22488477 30400293 41838027 51396779 52473113 54878451 68828369 80766367 94724191 128049719 154190337 157419339 201220987 206485107 242299101 284172573 384149157 481798583 565364569 603662961 663069337 757112059 1041966101 1408546909 1445395749 1696093707 1989208011 2271336177 3125898303 4225640727 5299784413 7293762707 9567143291 15899353239 21881288121 28701429873 66970003037 105238576201 200910009111 315715728603 736670033407 2210010100221