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132020200000 = 26551350777
BaseRepresentation
bin111101011110100000…
…1000110001001000000
3110121202201022001001001
41322331001012021000
54130334132400000
6140352123021344
712352404120163
oct1727501061100
9417681261031
10132020200000
1150a97a63307
122170536a854
13c5ac5a2350
146565901ada
15367a3b646a
hex1ebd046240

132020200000 has 168 divisors, whose sum is σ = 352646507304. Its totient is φ = 48744960000.

The previous prime is 132020199943. The next prime is 132020200033. The reversal of 132020200000 is 2020231.

It can be written as a sum of positive squares in 12 ways, for example, as 131821277184 + 198922816 = 363072^2 + 14104^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 132020200000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2574612 + ... + 2625388.

It is an arithmetic number, because the mean of its divisors is an integer number (2099086353).

Almost surely, 2132020200000 is an apocalyptic number.

132020200000 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 132020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176323253652).

132020200000 is an abundant number, since it is smaller than the sum of its proper divisors (220626307304).

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

132020200000 is an frugal number, since it uses more digits than its factorization.

132020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50827 (or 50797 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 132020200000 its reverse (2020231), we get a palindrome (132022220231).

The spelling of 132020200000 in words is "one hundred thirty-two billion, twenty million, two hundred thousand".