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1332022420332 = 22333115114391831
BaseRepresentation
bin10011011000100010101…
…110010010001101101100
311201100011221011221202000
4103120202232102031230
5133310440214422312
62455531143132300
7165143520521412
oct23304256221554
94640157157660
101332022420332
114739a8a2658a
121961a3744090
13987bc486856
14486824472b2
15249b038eadc
hex13622b9236c

1332022420332 has 192 divisors, whose sum is σ = 3592853913600. Its totient is φ = 426309480000.

The previous prime is 1332022420321. The next prime is 1332022420433. The reversal of 1332022420332 is 2330242202331.

1332022420332 is a `hidden beast` number, since 1 + 3 + 3 + 202 + 2 + 420 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332022420296 and 1332022420305.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 727482657 + ... + 727484487.

It is an arithmetic number, because the mean of its divisors is an integer number (18712780800).

Almost surely, 21332022420332 is an apocalyptic number.

1332022420332 is a gapful number since it is divisible by the number (12) 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 1332022420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796426956800).

1332022420332 is an abundant number, since it is smaller than the sum of its proper divisors (2260831493268).

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

1332022420332 is a wasteful number, since it uses less digits than its factorization.

1332022420332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1332022420332 its reverse (2330242202331), we get a palindrome (3662264622663).

The spelling of 1332022420332 in words is "one trillion, three hundred thirty-two billion, twenty-two million, four hundred twenty thousand, three hundred thirty-two".