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110222012220100 = 2252111910215165309
BaseRepresentation
bin11001000011111100001111…
…111000101000001011000100
3112110021010021112201002220121
4121003330033320220023010
5103421334140112020400
61030231143212111324
732134164133326424
oct3103741770501304
9473233245632817
10110222012220100
1132135990464130
1210441920a65544
134966b77b30831
141d30ab9664484
15cb21da3cb21a
hex643f0fe282c4

110222012220100 has 144 divisors (see below), whose sum is σ = 274927550385600. Its totient is φ = 37934021952000.

The previous prime is 110222012220097. The next prime is 110222012220149. The reversal of 110222012220100 is 1022210222011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18756246 + ... + 23921554.

It is an arithmetic number, because the mean of its divisors is an integer number (1909219099900).

Almost surely, 2110222012220100 is an apocalyptic number.

110222012220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222012220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137463775192800).

110222012220100 is an abundant number, since it is smaller than the sum of its proper divisors (164705538165500).

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

110222012220100 is a wasteful number, since it uses less digits than its factorization.

110222012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166374 (or 5166367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110222012220100 its reverse (1022210222011), we get a palindrome (111244222442111).

The spelling of 110222012220100 in words is "one hundred ten trillion, two hundred twenty-two billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1021 1045 1100 1900 2042 2090 4084 4180 5105 5225 10210 10450 11231 19399 20420 20900 22462 25525 38798 44924 51050 56155 77596 96995 102100 112310 193990 213389 224620 280775 387980 426778 484975 561550 853556 969950 1066945 1123100 1939900 2133890 4267780 5165309 5334725 10330618 10669450 20661236 21338900 25826545 51653090 56818399 98140871 103306180 113636798 129132725 196281742 227273596 258265450 284091995 392563484 490704355 516530900 568183990 981408710 1079549581 1136367980 1420459975 1962817420 2159099162 2453521775 2840919950 4318198324 4907043550 5273780489 5397747905 5681839900 9814087100 10547560978 10795495810 21095121956 21590991620 26368902445 26988739525 52737804890 53977479050 58011585379 100201829291 105475609780 107954958100 116023170758 131844512225 200403658582 232046341516 263689024450 290057926895 400807317164 501009146455 527378048900 580115853790 1002018292910 1102220122201 1160231707580 1450289634475 2004036585820 2204440244402 2505045732275 2900579268950 4408880488804 5010091464550 5511100611005 5801158537900 10020182929100 11022201222010 22044402444020 27555503055025 55111006110050 110222012220100