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132221220024 = 23361187148271
BaseRepresentation
bin111101100100011111…
…1111011010010111000
3110122021201112220200010
41323020333323102320
54131242113020044
6140424103341520
712360364553325
oct1731077732270
9418251486603
10132221220024
1151090482663
12217607518a0
13c6121259ca
1465844abb4c
15368cd72bb9
hex1ec8ffb4b8

132221220024 has 64 divisors (see below), whose sum is σ = 336158484480. Its totient is φ = 43327152000.

The previous prime is 132221219989. The next prime is 132221220067. The reversal of 132221220024 is 420022122231.

132221220024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715009 + ... + 2763279.

It is an arithmetic number, because the mean of its divisors is an integer number (5252476320).

Almost surely, 2132221220024 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 132221220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168079242240).

132221220024 is an abundant number, since it is smaller than the sum of its proper divisors (203937264456).

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

132221220024 is a wasteful number, since it uses less digits than its factorization.

132221220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50212 (or 50208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 132221220024 its reverse (420022122231), we get a palindrome (552243342255).

The spelling of 132221220024 in words is "one hundred thirty-two billion, two hundred twenty-one million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1871 3742 5613 7484 11226 14968 22452 44904 48271 96542 114131 144813 193084 228262 289626 342393 386168 456524 579252 684786 913048 1158504 1369572 2739144 2944531 5889062 8833593 11778124 17667186 23556248 35334372 70668744 90315041 180630082 270945123 361260164 541890246 722520328 1083780492 2167560984 5509217501 11018435002 16527652503 22036870004 33055305006 44073740008 66110610012 132221220024