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1320202213200 = 2432521328209449
BaseRepresentation
bin10011001101100010001…
…011110001011101010000
311200012200011101012211200
4103031202023301131100
5133112233231310300
62450254215111200
7164244561441213
oct23154213613520
94605604335750
101320202213200
11469992805a62
12193a45072500
1397657652850
1447c8066b77a
152451c7d6200
hex133622f1750

1320202213200 has 180 divisors, whose sum is σ = 4933889223900. Its totient is φ = 324972840960.

The previous prime is 1320202213103. The next prime is 1320202213207. The reversal of 1320202213200 is 23122020231.

1320202213200 is a `hidden beast` number, since 1 + 320 + 2 + 0 + 2 + 21 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 993762576 + 1319208450624 = 31524^2 + 1148568^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320202213207) 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 35 ways as a sum of consecutive naturals, for example, 14057925 + ... + 14151524.

Almost surely, 21320202213200 is an apocalyptic number.

1320202213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320202213200 is an abundant number, since it is smaller than the sum of its proper divisors (3613687010700).

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

1320202213200 is a wasteful number, since it uses less digits than its factorization.

1320202213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28209486 (or 28209472 counting only the distinct ones).

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

Adding to 1320202213200 its reverse (23122020231), we get a palindrome (1343324233431).

The spelling of 1320202213200 in words is "one trillion, three hundred twenty billion, two hundred two million, two hundred thirteen thousand, two hundred".