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10242532220355 = 3251727761137907
BaseRepresentation
bin1001010100001100011001…
…1111101001110111000011
31100021011202200101121010100
42111003012133221313003
52320303201222022410
633441204312133443
72104666332244611
oct225030637516703
940234680347110
1010242532220355
113299919463956
1211950a3397283
13593b3602ab96
14275a53c186b1
1512b6723418c0
hex950c67e9dc3

10242532220355 has 96 divisors (see below), whose sum is σ = 18871394727744. Its totient is φ = 5121302888448.

The previous prime is 10242532220339. The next prime is 10242532220377. The reversal of 10242532220355 is 55302223524201.

It is a happy number.

10242532220355 is a `hidden beast` number, since 1 + 0 + 2 + 425 + 3 + 2 + 220 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 10242532220355 - 24 = 10242532220339 is a prime.

It is a super-3 number, since 3×102425322203553 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1295371312 + ... + 1295379218.

It is an arithmetic number, because the mean of its divisors is an integer number (196577028414).

Almost surely, 210242532220355 is an apocalyptic number.

10242532220355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10242532220355 is a deficient number, since it is larger than the sum of its proper divisors (8628862507389).

10242532220355 is a wasteful number, since it uses less digits than its factorization.

10242532220355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14322 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 10242532220355 its reverse (55302223524201), we get a palindrome (65544755744556).

The spelling of 10242532220355 in words is "ten trillion, two hundred forty-two billion, five hundred thirty-two million, two hundred twenty thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 277 765 831 1385 2493 4155 4709 6113 7907 12465 14127 18339 23545 23721 30565 39535 42381 55017 70635 71163 91695 103921 118605 134419 211905 275085 311763 355815 403257 519605 672095 935289 1209771 1558815 1693301 2016285 2190239 4676445 5079903 6048855 6570717 8466505 10951195 15239709 19712151 25399515 28786117 32853585 37234063 48335491 76198545 86358351 98560755 111702189 143930585 145006473 186170315 241677455 259075053 335106567 431791755 435019419 558510945 725032365 821703347 1295375265 1675532835 2175097095 2465110041 4108516735 7395330123 12325550205 13388931007 36976650615 40166793021 66944655035 120500379063 200833965105 227611827119 602501895315 682835481357 1138059135595 2048506444071 3414177406785 10242532220355