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10222120243110 = 23523123713678761
BaseRepresentation
bin1001010011000000010111…
…0110001000111110100110
31100012020002010122201100010
42110300011312020332212
52314434400240234420
633423551024431050
72103344445303066
oct224600566107646
940166063581303
1010222120243110
1132911a4429276
121191147478486
13591c321aa139
14274a78d313a6
1512ad7a3484e0
hex94c05d88fa6

10222120243110 has 128 divisors (see below), whose sum is σ = 25642108237824. Its totient is φ = 2603070581760.

The previous prime is 10222120243043. The next prime is 10222120243157. The reversal of 10222120243110 is 1134202122201.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1166771130 + ... + 1166779890.

It is an arithmetic number, because the mean of its divisors is an integer number (200328970608).

Almost surely, 210222120243110 is an apocalyptic number.

10222120243110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222120243110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821054118912).

10222120243110 is an abundant number, since it is smaller than the sum of its proper divisors (15419987994714).

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

10222120243110 is a wasteful number, since it uses less digits than its factorization.

10222120243110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10222120243110 its reverse (1134202122201), we get a palindrome (11356322365311).

The spelling of 10222120243110 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty million, two hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1237 1367 2474 2734 3711 4101 6185 6835 7422 8202 8761 12370 13670 17522 18555 20505 26283 28451 31441 37110 41010 43805 52566 56902 62882 85353 87610 94323 131415 142255 157205 170706 188646 201503 262830 284510 314410 403006 426765 471615 604509 853530 943230 1007515 1209018 1690979 2015030 3022545 3381958 5072937 6045090 8454895 10145874 10837357 11976287 16909790 21674714 23952574 25364685 32512071 35928861 38892517 50729370 54186785 59881435 65024142 71857722 77785034 108373570 116677551 119762870 162560355 179644305 194462585 233355102 249259211 275454601 325120710 359288610 388925170 498518422 550909202 583387755 747777633 826363803 1166775510 1246296055 1377273005 1495555266 1652727606 2492592110 2754546010 3738888165 4131819015 7477776330 8263638030 14814667019 29629334038 44444001057 74073335095 88888002114 148146670190 222220005285 340737341437 444440010570 681474682874 1022212024311 1703686707185 2044424048622 3407373414370 5111060121555 10222120243110