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132212323344 = 24312503220301
BaseRepresentation
bin111101100100001110…
…1111111010000010000
3110122021002210220201110
41323020131333100100
54131232323321334
6140423144533320
712360226130433
oct1731035772020
9418232726643
10132212323344
1151086456432
1221759781240
13c61032c3ba
14658323381a
15368c1b6ae9
hex1ec877f410

132212323344 has 40 divisors (see below), whose sum is σ = 341577369792. Its totient is φ = 44067049600.

The previous prime is 132212323343. The next prime is 132212323351. The reversal of 132212323344 is 443323212231.

It is a happy number.

132212323344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132212323343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 489994 + ... + 710294.

Almost surely, 2132212323344 is an apocalyptic number.

It is an amenable number.

132212323344 is an abundant number, since it is smaller than the sum of its proper divisors (209365046448).

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

132212323344 is a wasteful number, since it uses less digits than its factorization.

132212323344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232815 (or 232809 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 132212323344 its reverse (443323212231), we get a palindrome (575535535575).

The spelling of 132212323344 in words is "one hundred thirty-two billion, two hundred twelve million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 12503 25006 37509 50012 75018 100024 150036 200048 220301 300072 440602 600144 660903 881204 1321806 1762408 2643612 3524816 5287224 10574448 2754423403 5508846806 8263270209 11017693612 16526540418 22035387224 33053080836 44070774448 66106161672 132212323344