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10022614233125 = 541317137529649
BaseRepresentation
bin1001000111011001001001…
…0111000111000000100101
31022111011010012220022202012
42101312102113013000211
52303202303220430000
633152154142324005
72053052503222154
oct221662227070045
938434105808665
1010022614233125
11321462649a08a
12115a549289605
1357918931a660
142691506bd59b
15125aa0451735
hex91d925c7025

10022614233125 has 80 divisors (see below), whose sum is σ = 14385323660400. Its totient is φ = 6915084288000.

The previous prime is 10022614233077. The next prime is 10022614233161. The reversal of 10022614233125 is 52133241622001.

It can be written as a sum of positive squares in 40 ways, for example, as 7102774000609 + 2919840232516 = 2665103^2 + 1708754^2 .

It is not a de Polignac number, because 10022614233125 - 216 = 10022614167589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022614233091 and 10022614233100.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 18658301 + ... + 19187949.

It is an arithmetic number, because the mean of its divisors is an integer number (179816545755).

Almost surely, 210022614233125 is an apocalyptic number.

It is an amenable number.

10022614233125 is a deficient number, since it is larger than the sum of its proper divisors (4362709427275).

10022614233125 is a wasteful number, since it uses less digits than its factorization.

10022614233125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529836 (or 529821 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10022614233125 its reverse (52133241622001), we get a palindrome (62155855855126).

The spelling of 10022614233125 in words is "ten trillion, twenty-two billion, six hundred fourteen million, two hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 137 221 325 425 625 685 1105 1625 1781 2125 2329 3425 5525 8125 8905 10625 11645 17125 27625 30277 44525 58225 85625 138125 151385 222625 291125 529649 756925 1113125 1455625 2648245 3784625 6885437 9004033 13241225 18923125 34427185 45020165 66206125 72561913 117052429 172135925 225100825 331030625 362809565 585262145 860679625 943304869 1125504125 1233552521 1814047825 2926310725 4303398125 4716524345 5627520625 6167762605 9070239125 14631553625 16036182773 23582621725 30838813025 45351195625 73157768125 80180913865 117913108625 154194065125 400904569325 589565543125 770970325625 2004522846625 10022614233125