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20132322112 = 26771962501
BaseRepresentation
bin10010101111111110…
…101101101101000000
31220222001111221001201
4102233332231231000
5312212333301422
613125413310544
71311616625440
oct225776555500
956861457051
1020132322112
1185a1197641
123a9a335454
131b8ac27346
14d8dacc120
157cc6a7727
hex4affadb40

20132322112 has 56 divisors (see below), whose sum is σ = 45721463040. Its totient is φ = 8616000000.

The previous prime is 20132322071. The next prime is 20132322137. The reversal of 20132322112 is 21122323102.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 20132322112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290862 + ... + 353362.

Almost surely, 220132322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860731520).

20132322112 is an abundant number, since it is smaller than the sum of its proper divisors (25589140928).

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

20132322112 is an equidigital number, since it uses as much as digits as its factorization.

20132322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63239 (or 63229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20132322112 its reverse (21122323102), we get a palindrome (41254645214).

It can be divided in two parts, 20132 and 322112, that multiplied together give a square (6484758784 = 805282).

The spelling of 20132322112 in words is "twenty billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 719 1438 2876 5033 5752 10066 11504 20132 23008 40264 46016 62501 80528 125002 161056 250004 322112 437507 500008 875014 1000016 1750028 2000032 3500056 4000064 7000112 14000224 28000448 44938219 89876438 179752876 314567533 359505752 629135066 719011504 1258270132 1438023008 2516540264 2876046016 5033080528 10066161056 20132322112