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10120112022222 = 2334122932216197
BaseRepresentation
bin1001001101000100010110…
…1011101010001011001110
31022211110210000012011221000
42103101011223222023032
52311301442134202342
633305040522321130
72063103544603146
oct223210553521316
938743700164830
1010120112022222
113251a08451094
1211754190591a6
13585426605517
1426db5d2b5926
151283a9b7544c
hex93445aea2ce

10120112022222 has 128 divisors (see below), whose sum is σ = 23149172995200. Its totient is φ = 3275175859200.

The previous prime is 10120112022221. The next prime is 10120112022239. The reversal of 10120112022222 is 22222021102101.

It is a happy number.

10120112022222 is a `hidden beast` number, since 101 + 201 + 120 + 22 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120112022195 and 10120112022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120112022221) 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, 1633063228 + ... + 1633069424.

It is an arithmetic number, because the mean of its divisors is an integer number (180852914025).

Almost surely, 210120112022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120112022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574586497600).

10120112022222 is an abundant number, since it is smaller than the sum of its proper divisors (13029060972978).

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

10120112022222 is a wasteful number, since it uses less digits than its factorization.

10120112022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9699 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10120112022222 its reverse (22222021102101), we get a palindrome (32342133124323).

The spelling of 10120112022222 in words is "ten trillion, one hundred twenty billion, one hundred twelve million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 229 246 369 458 687 738 1107 1374 2061 2214 3221 4122 6183 6197 6442 9389 9663 12366 12394 18591 18778 19326 28167 28989 37182 55773 56334 57978 84501 86967 111546 132061 167319 169002 173934 253503 254077 264122 334638 396183 507006 508154 737609 762231 792366 1188549 1419113 1475218 1524462 2212827 2286693 2377098 2838226 3565647 4257339 4425654 4573386 6638481 6860079 7131294 8514678 12772017 13276962 13720158 19915443 19960537 25544034 30241969 38316051 39830886 39921074 58183633 59881611 60483938 76632102 90725907 116367266 119763222 174550899 179644833 181451814 272177721 349101798 359289666 523652697 538934499 544355442 816533163 818382017 1047305394 1077868998 1570958091 1633066326 1636764034 2455146051 3141916182 4570962973 4910292102 7365438153 9141925946 13712888919 14730876306 22096314459 27425777838 41138666757 44192628918 82277333514 123416000271 187409481893 246832000542 374818963786 562228445679 1124456891358 1686685337037 3373370674074 5060056011111 10120112022222