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22101121000010 = 25132917209340657
BaseRepresentation
bin1010000011001110100010…
…11101110110001001001010
32220020211212010022101210102
411001213101131312021022
510344101043434000020
6115001040445045402
74440516244604033
oct501472135661112
986224763271712
1022101121000010
11705103a6a1908
12258b418856862
13c4418567bb50
145659b29b5a8a
15284d7a6d1475
hex1419d177624a

22101121000010 has 64 divisors (see below), whose sum is σ = 44322194800800. Its totient is φ = 7878539354112.

The previous prime is 22101120999989. The next prime is 22101121000061. The reversal of 22101121000010 is 1000012110122.

It can be written as a sum of positive squares in 16 ways, for example, as 225660151369 + 21875460848641 = 475037^2 + 4677121^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22101120999955 and 22101121000000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64707602 + ... + 65048258.

Almost surely, 222101121000010 is an apocalyptic number.

22101121000010 is an abundant number, since it is smaller than the sum of its proper divisors (22221073800790).

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

22101121000010 is a wasteful number, since it uses less digits than its factorization.

22101121000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357915.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22101121000010 its reverse (1000012110122), we get a palindrome (23101133110132).

The spelling of 22101121000010 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770 17209 34418 86045 172090 223717 340657 447434 499061 681314 998122 1118585 1703285 2237170 2495305 3406570 4428541 4990610 6487793 8857082 9879053 12975586 19758106 22142705 32438965 44285410 49395265 64877930 98790530 128427689 256855378 642138445 1284276890 5862366313 11724732626 29311831565 58623663130 76210762069 152421524138 170008623077 340017246154 381053810345 762107620690 850043115385 1700086230770 2210112100001 4420224200002 11050560500005 22101121000010