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10122011222022 = 2327198350940661
BaseRepresentation
bin1001001101001011011011…
…1000100010000000000110
31022211122200100212112021100
42103102312320202000012
52311314334333101042
633305553205000530
72063201605540620
oct223226670420006
938748610775240
1010122011222022
1132527a24aaaa7
1211758690b3146
13585669c18a9b
1426dc9d611c10
1512846b77624c
hex934b6e22006

10122011222022 has 96 divisors (see below), whose sum is σ = 26701057393920. Its totient is φ = 2706782909760.

The previous prime is 10122011221979. The next prime is 10122011222077. The reversal of 10122011222022 is 22022211022101.

It is a happy number.

It is a super-2 number, since 2×101220112220222 (a number of 27 digits) contains 22 as substring.

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 = 10122011221986 and 10122011222004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25271629 + ... + 25669032.

It is an arithmetic number, because the mean of its divisors is an integer number (278136014520).

Almost surely, 210122011222022 is an apocalyptic number.

10122011222022 is an abundant number, since it is smaller than the sum of its proper divisors (16579046171898).

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

10122011222022 is a wasteful number, since it uses less digits than its factorization.

10122011222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50940778 (or 50940775 counting only the distinct ones).

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

Adding to 10122011222022 its reverse (22022211022101), we get a palindrome (32144222244123).

The spelling of 10122011222022 in words is "ten trillion, one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 83 114 126 133 166 171 249 266 342 399 498 581 747 798 1162 1197 1494 1577 1743 2394 3154 3486 4731 5229 9462 10458 11039 14193 22078 28386 33117 66234 99351 198702 50940661 101881322 152821983 305643966 356584627 458465949 713169254 916931898 967872559 1069753881 1935745118 2139507762 2903617677 3209261643 4228074863 5807235354 6418523286 6775107913 8456149726 8710853031 12684224589 13550215826 17421706062 20325323739 25368449178 29596524041 38052673767 40650647478 59193048082 60975971217 76105347534 80333422397 88789572123 121951942434 160666844794 177579144246 241000267191 266368716369 482000534382 532737432738 562333956779 723000801573 1124667913558 1446001603146 1687001870337 3374003740674 5061005611011 10122011222022