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22010211001220 = 2251384654657697
BaseRepresentation
bin1010000000100101001101…
…10011101110001110000100
32212221011012110002222000012
411000102212303232032010
510341103403004014340
6114451203520205352
74431120355425551
oct500224663561604
985834173088005
1022010211001220
11701652933a202
122575887169858
13c38728172060
1456142acb7a28
15282809500565
hex1404a6cee384

22010211001220 has 24 divisors (see below), whose sum is σ = 49776938726424. Its totient is φ = 8126847138816.

The previous prime is 22010211001211. The next prime is 22010211001223. The reversal of 22010211001220 is 2210011201022.

It can be written as a sum of positive squares in 4 ways, for example, as 1312733896516 + 20697477104704 = 1145746^2 + 4549448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22010211001195 and 22010211001204.

It is not an unprimeable number, because it can be changed into a prime (22010211001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42327328589 + ... + 42327329108.

It is an arithmetic number, because the mean of its divisors is an integer number (2074039113601).

Almost surely, 222010211001220 is an apocalyptic number.

22010211001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010211001220 is an abundant number, since it is smaller than the sum of its proper divisors (27766727725204).

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

22010211001220 is a wasteful number, since it uses less digits than its factorization.

22010211001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84654657719 (or 84654657717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22010211001220 its reverse (2210011201022), we get a palindrome (24220222202242).

The spelling of 22010211001220 in words is "twenty-two trillion, ten billion, two hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 84654657697 169309315394 338618630788 423273288485 846546576970 1100510550061 1693093153940 2201021100122 4402042200244 5502552750305 11005105500610 22010211001220