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132024350500 = 2253728096661
BaseRepresentation
bin111101011110101000…
…0111011011100100100
3110121210000002220110021
41322331100323130210
54130341213204000
6140352352004524
712352454314600
oct1727520733444
9417700086407
10132024350500
1150a9a338679
1221706830744
13c5b03c6573
1465662a2500
15367a93611a
hex1ebd43b724

132024350500 has 144 divisors (see below), whose sum is σ = 335882317680. Its totient is φ = 45202752000.

The previous prime is 132024350467. The next prime is 132024350543. The reversal of 132024350500 is 5053420231.

It can be written as a sum of positive squares in 8 ways, for example, as 1882344996 + 130142005504 = 43386^2 + 360752^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19817170 + ... + 19823830.

It is an arithmetic number, because the mean of its divisors is an integer number (2332516095).

Almost surely, 2132024350500 is an apocalyptic number.

132024350500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132024350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167941158840).

132024350500 is an abundant number, since it is smaller than the sum of its proper divisors (203857967180).

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

132024350500 is a wasteful number, since it uses less digits than its factorization.

132024350500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 132024350500 its reverse (5053420231), we get a palindrome (137077770731).

The spelling of 132024350500 in words is "one hundred thirty-two billion, twenty-four million, three hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 809 875 980 1225 1618 1750 2450 3236 3500 4045 4900 5663 6125 6661 8090 11326 12250 13322 16180 20225 22652 24500 26644 28315 33305 39641 40450 46627 56630 66610 79282 80900 93254 101125 113260 133220 141575 158564 166525 186508 198205 202250 233135 283150 326389 333050 396410 404500 466270 566300 652778 666100 707875 792820 832625 932540 991025 1165675 1305556 1415750 1631945 1665250 1982050 2331350 2831500 3263890 3330500 3964100 4662700 4955125 5388749 5828375 6527780 8159725 9910250 10777498 11656750 16319450 19820500 21554996 23313500 26943745 32638900 37721243 40798625 53887490 75442486 81597250 107774980 134718725 150884972 163194500 188606215 264048701 269437450 377212430 528097402 538874900 673593625 754424860 943031075 1056194804 1320243505 1347187250 1886062150 2640487010 2694374500 3772124300 4715155375 5280974020 6601217525 9430310750 13202435050 18860621500 26404870100 33006087625 66012175250 132024350500