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2202220100010 = 2357103853119359
BaseRepresentation
bin100000000010111110100…
…010111111100110101010
321210112022111122022010210
4200002332202333212222
5242040121321200020
64403404055321550
7315051031664610
oct40027642774652
97715274568123
102202220100010
11779a5791aa87
122b697b0802b6
1312c88c801998
14788337616b0
153c4412de3e0
hex200be8bf9aa

2202220100010 has 128 divisors (see below), whose sum is σ = 6106220789760. Its totient is φ = 497889006336.

The previous prime is 2202220099999. The next prime is 2202220100011. The reversal of 2202220100010 is 100010222022.

2202220100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2202220100011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18390711 + ... + 18510069.

It is an arithmetic number, because the mean of its divisors is an integer number (47704849920).

Almost surely, 22202220100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202220100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053110394880).

2202220100010 is an abundant number, since it is smaller than the sum of its proper divisors (3904000689750).

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

2202220100010 is a wasteful number, since it uses less digits than its factorization.

2202220100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120332.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2202220100010 its reverse (100010222022), we get a palindrome (2302230322032).

The spelling of 2202220100010 in words is "two trillion, two hundred two billion, two hundred twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 853 1030 1442 1545 1706 2163 2559 3090 3605 4265 4326 5118 5971 7210 8530 10815 11942 12795 17913 21630 25590 29855 35826 59710 87859 89565 119359 175718 179130 238718 263577 358077 439295 527154 596795 615013 716154 835513 878590 1193590 1230026 1317885 1671026 1790385 1845039 2506539 2635770 3075065 3580770 3690078 4177565 5013078 6150130 8355130 9225195 12293977 12532695 18450390 24587954 25065390 36881931 61469885 73763862 86057839 101813227 122939770 172115678 184409655 203626454 258173517 305439681 368819310 430289195 509066135 516347034 610879362 712692589 860578390 1018132270 1290867585 1425385178 1527198405 2138077767 2581735170 3054396810 3563462945 4276155534 7126925890 10486762381 10690388835 20973524762 21380777670 31460287143 52433811905 62920574286 73407336667 104867623810 146814673334 157301435715 220222010001 314602871430 367036683335 440444020002 734073366670 1101110050005 2202220100010