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1032212320020 = 22325722912792797
BaseRepresentation
bin11110000010101001010…
…01100000111100010100
310122200022122120211101200
433001110221200330110
5113402432323220040
62110105232152500
7134401116645330
oct17012451407424
93580278524350
101032212320020
11368838a43782
12148071998730
137644cab6b2b
1437d606187c0
151bcb46e2630
hexf054a60f14

1032212320020 has 288 divisors, whose sum is σ = 3598057881600. Its totient is φ = 234636383232.

The previous prime is 1032212319979. The next prime is 1032212320037. The reversal of 1032212320020 is 200232122301.

1032212320020 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 2 + 320 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032212319975 and 1032212320002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369041262 + ... + 369044058.

Almost surely, 21032212320020 is an apocalyptic number.

1032212320020 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 1032212320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799028940800).

1032212320020 is an abundant number, since it is smaller than the sum of its proper divisors (2565845561580).

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

1032212320020 is a wasteful number, since it uses less digits than its factorization.

1032212320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1032212320020 its reverse (200232122301), we get a palindrome (1232444442321).

The spelling of 1032212320020 in words is "one trillion, thirty-two billion, two hundred twelve million, three hundred twenty thousand, twenty".