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10022643025122 = 23713197417130259
BaseRepresentation
bin1001000111011001010000…
…0100111100010011100010
31022111011012020002002221110
42101312110010330103202
52303202333103300442
633152201051404150
72053053303026640
oct221662404742342
938434166062843
1010022643025122
113214640774a22
12115a556a53656
1357919228b840
14269154456190
15125aa2c3c69c
hex91d9413c4e2

10022643025122 has 128 divisors (see below), whose sum is σ = 25973302118400. Its totient is φ = 2503854706176.

The previous prime is 10022643025121. The next prime is 10022643025123. The reversal of 10022643025122 is 22152034622001.

It is an interprime number because it is at equal distance from previous prime (10022643025121) and next prime (10022643025123).

It is a super-2 number, since 2×100226430251222 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10022643025122.

It is not an unprimeable number, because it can be changed into a prime (10022643025121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76878829 + ... + 77009087.

It is an arithmetic number, because the mean of its divisors is an integer number (202916422800).

Almost surely, 210022643025122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022643025122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986651059200).

10022643025122 is an abundant number, since it is smaller than the sum of its proper divisors (15950659093278).

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

10022643025122 is a wasteful number, since it uses less digits than its factorization.

10022643025122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137720.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10022643025122 its reverse (22152034622001), we get a palindrome (32174677647123).

The spelling of 10022643025122 in words is "ten trillion, twenty-two billion, six hundred forty-three million, twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 7417 10374 14834 22251 44502 51919 96421 103838 130259 140923 155757 192842 260518 281846 289263 311514 390777 422769 578526 674947 781554 845538 911813 986461 1349894 1693367 1823626 1831999 1972922 2024841 2474921 2735439 2959383 3386734 3663998 4049682 4949842 5080101 5470878 5495997 5918766 7424763 10160202 10991994 11853569 12823993 14849526 17324447 23707138 25647986 32173973 34648894 35560707 38471979 51973341 64347946 71121414 76943958 96521919 103946682 193043838 225217811 450435622 675653433 966131003 1351306866 1932262006 2898393009 5796786018 6762917021 12559703039 13525834042 18356489057 20288751063 25119406078 36712978114 37679109117 40577502126 55069467171 75358218234 87917921273 110138934342 128495423399 175835842546 238634357741 256990846798 263753763819 385486270197 477268715482 527507527638 715903073223 770972540394 1431806146446 1670440504187 3340881008374 5011321512561 10022643025122