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20303233120032 = 2533119734631081
BaseRepresentation
bin1001001110111001101101…
…11111110111011100100000
32122212222012020002001022020
410213130312333313130200
510130122010134320112
6111103102044141440
74163601021016212
oct447346677673440
978788166061266
1020303233120032
116518609879265
12233aa9b837880
13b43781ba9305
1450297892a5b2
152532012d648c
hex127736ff7720

20303233120032 has 96 divisors (see below), whose sum is σ = 55294478959104. Its totient is φ = 6516184012800.

The previous prime is 20303233120019. The next prime is 20303233120039. The reversal of 20303233120032 is 23002133230302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20303233119984 and 20303233120011.

It is not an unprimeable number, because it can be changed into a prime (20303233120039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16729269 + ... + 17901812.

It is an arithmetic number, because the mean of its divisors is an integer number (575984155824).

Almost surely, 220303233120032 is an apocalyptic number.

It is an amenable number.

20303233120032 is an abundant number, since it is smaller than the sum of its proper divisors (34991245839072).

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

20303233120032 is a wasteful number, since it uses less digits than its factorization.

20303233120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34631322 (or 34631314 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 20303233120032 its reverse (23002133230302), we get a palindrome (43305366350334).

The spelling of 20303233120032 in words is "twenty trillion, three hundred three billion, two hundred thirty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 197 248 372 394 496 591 744 788 992 1182 1488 1576 2364 2976 3152 4728 6107 6304 9456 12214 18321 18912 24428 36642 48856 73284 97712 146568 195424 293136 586272 34631081 69262162 103893243 138524324 207786486 277048648 415572972 554097296 831145944 1073563511 1108194592 1662291888 2147127022 3220690533 3324583776 4294254044 6441381066 6822322957 8588508088 12882762132 13644645914 17177016176 20466968871 25765524264 27289291828 34354032352 40933937742 51531048528 54578583656 81867875484 103062097056 109157167312 163735750968 211492011667 218314334624 327471501936 422984023334 634476035001 654943003872 845968046668 1268952070002 1691936093336 2537904140004 3383872186672 5075808280008 6767744373344 10151616560016 20303233120032