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10010001102220 = 2257220707493277
BaseRepresentation
bin1001000110101010001010…
…0011110101010110001100
31022102221120012001212220201
42101222202203311112030
52303000440240232340
633142310411223244
72052125105326600
oct221524243652614
938387505055821
1010010001102220
11320a243731159
121158009147b24
13577c291405a2
142686b549b500
151255b2e6c79a
hex91aa28f558c

10010001102220 has 72 divisors (see below), whose sum is σ = 24454233172656. Its totient is φ = 3431827679616.

The previous prime is 10010001102209. The next prime is 10010001102289. The reversal of 10010001102220 is 2220110001001.

It is a super-2 number, since 2×100100011022202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10010001102197 and 10010001102206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20046222 + ... + 20539498.

It is an arithmetic number, because the mean of its divisors is an integer number (339642127398).

Almost surely, 210010001102220 is an apocalyptic number.

10010001102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001102220 is an abundant number, since it is smaller than the sum of its proper divisors (14444232070436).

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

10010001102220 is a wasteful number, since it uses less digits than its factorization.

10010001102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514007 (or 513998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010001102220 its reverse (2220110001001), we get a palindrome (12230111103221).

The spelling of 10010001102220 in words is "ten trillion, ten billion, one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 20707 41414 82828 103535 144949 207070 289898 414140 493277 579796 724745 986554 1014643 1449490 1973108 2029286 2466385 2898980 3452939 4058572 4932770 5073215 6905878 9865540 10146430 13811756 17264695 20292860 24170573 34529390 48341146 69058780 96682292 120852865 241705730 483411460 10214286839 20428573678 40857147356 51071434195 71500007873 102142868390 143000015746 204285736780 286000031492 357500039365 500500055111 715000078730 1001000110222 1430000157460 2002000220444 2502500275555 5005000551110 10010001102220