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132020320302 = 232132920699403
BaseRepresentation
bin111101011110100000…
…1100011100000101110
3110121202201112011001200
41322331001203200232
54130334200222202
6140352125350330
712352405131003
oct1727501434056
9417681464050
10132020320302
1150a98035732
12217054083a6
13c5ac615030
1465659338aa
15367a3dbe1c
hex1ebd06382e

132020320302 has 96 divisors (see below), whose sum is σ = 318857666400. Its totient is φ = 39197765376.

The previous prime is 132020320249. The next prime is 132020320337. The reversal of 132020320302 is 203023020231.

It is a happy number.

132020320302 is a `hidden beast` number, since 1 + 3 + 20 + 20 + 320 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 14035533 + ... + 14044935.

It is an arithmetic number, because the mean of its divisors is an integer number (3321434025).

Almost surely, 2132020320302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132020320302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159428833200).

132020320302 is an abundant number, since it is smaller than the sum of its proper divisors (186837346098).

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

132020320302 is a wasteful number, since it uses less digits than its factorization.

132020320302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132020320302 its reverse (203023020231), we get a palindrome (335043340533).

The spelling of 132020320302 in words is "one hundred thirty-two billion, twenty million, three hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2069 2262 3393 4138 6207 6786 9403 12414 18621 18806 26897 28209 37242 53794 56418 60001 80691 84627 120002 122239 161382 169254 180003 242073 244478 272687 360006 366717 484146 540009 545374 733434 780013 818061 1080018 1100151 1560026 1636122 2200302 2340039 2454183 3544931 4680078 4908366 7020117 7089862 10634793 14040234 19454807 21269586 31904379 38909614 58364421 63808758 116728842 175093263 252912491 350186526 505824982 564189403 758737473 1128378806 1517474946 1692568209 2276212419 3385136418 4552424838 5077704627 7334462239 10155409254 14668924478 22003386717 44006773434 66010160151 132020320302